The value of the chi-square statistic for this independence test is approximately 82.23.
To calculate the expected values for the independence test, we need to determine the expected number of individuals in each category if age and voting behavior were independent. We can calculate the expected values using the formula:
Expected value = (Row total * Column total) / Total number of observations
Let's calculate the expected values for each category:
Age Voted? Under 30 30 - 50 Over 50 Total
Yes 35 64 25 124
No 56 19 1 76
Total 91 83 26 200
Expected value for "Yes" under "Under 30" category:
Expected value = (91 * 124) / 200 = 56.57 (approximately 57)
Expected value for "No" under "Under 30" category:
Expected value = (91 * 76) / 200 = 34.82 (approximately 35)
Similarly, calculate the expected values for the other categories:
Expected values for "Yes" in the "30 - 50" and "Over 50" categories:
30 - 50: 83 * 124 / 200 ≈ 51.77 (approximately 52)
Over 50: 26 * 124 / 200 ≈ 16.12 (approximately 16)
Expected values for "No" in the "30 - 50" and "Over 50" categories:
30 - 50: 83 * 76 / 200 ≈ 31.63 (approximately 32)
Over 50: 26 * 76 / 200 ≈ 9.88 (approximately 10)
The expected table for the independence test is as follows:
Age Voted? Under 30 30 - 50 Over 50 Total
Yes 57 52 16 124
No 35 32 10 76
Total 91 83 26 200
To find the chi-square statistic for this independence test, we use the formula:
χ² = Σ [(Observed value - Expected value)² / Expected value]
Now, let's calculate the chi-square statistic by summing the values for each category:
χ² = [(35 - 57)² / 57] + [(64 - 52)² / 52] + [(25 - 16)² / 16] + [(56 - 35)² / 35] + [(19 - 32)² / 32] + [(1 - 10)² / 10]
χ² = 23.09 + 2.46 + 5.06 + 40.69 + 4.53 + 6.4
χ² ≈ 82.23
Therefore, the value of the chi-square statistic for this independence test is approximately 82.23.
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Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores. Sunglass House sells the sunglasses go 20% off the $40 retail price. The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion. Which store has the better buy?
Answer:
Based on the calculations, the store with the better buy is The Eyewear Shoppe
Step-by-step explanation:
Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.
For The Eyewear Shoppe:
The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.
Based on this promotion, you can get 2 sunglasses for $60
For Sunglass House
Sunglass House sells the sunglasses go 20% off the $40 retail price.
A Sunglass = $40 - ( 20%× $40)
= $40 - $8
= $32
Two sunglasses will cost = $32 × 2
= $64
Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe
If Jake buys 2 sunglasses from Sunglass House the total price would be $64. The Eyewear Shoppe would get you two sunglasses for $60. This means that the The Eyewear Shoppe is a better buy.
Solve for x HELP ASAP
Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set.
a. true
b. false
The given statement, "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is FALSE.
This statement is incorrect because the logistic regression model does not work well with perfectly separable data as logistic regression is not designed to handle perfectly separable data.
Explanation:Logistic regression is a statistical method used for modeling the relationship between a dependent variable and one or more independent variables.
It is widely used for classification problems that involve predicting a categorical outcome.For instance, logistic regression is used to predict the probability of a particular outcome (such as a person's gender, a customer's behavior, or a patient's diagnosis) based on one or more independent variables (such as age, income, education, etc.).However, logistic regression assumes that the data are not perfectly separable.
That is, it assumes that there is some overlap between the two classes in the feature space, and the logistic regression model tries to find a hyperplane that separates the two classes with maximum margin.
This means that logistic regression works best when the data is not perfectly separable. If the data is perfectly separable, then the logistic regression model will not work well because it will fail to find a decision boundary that separates the two classes.
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The statement "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is false.
Logistic Regression is a statistical technique for examining a dataset in which there are one or more independent variables that determine an outcome.
The outcome is determined by a binary variable, which means that there are just two possible results.
In other words, it determines the likelihood of a dependent variable occurring for a given set of independent variables. It is widely used for prediction and classification purposes.
Logistic regression makes no assumptions about the distribution of the independent variables and, unlike linear regression, can use binary, categorical, and continuous independent variables. It also estimates the probabilities of an event occurring.
Linear regression is for continuous data and logistic regression is for categorical data.
So, the statement "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is false because logistic regression works best when data is inseparable.
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help. please. I really need help if its correct i would be happy
Answer:
[tex]-22\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]a=\frac{1}{3} , b = -10, c = -3[/tex]
change [tex]b^{2} - 9a^{2} + c[/tex] to
[tex]-10 -9\frac{1}{3} + (-3)[/tex]
=
[tex]-22\frac{1}{3}[/tex]
I'm not sure what to do for this question.
Answer:
[9.99744 (10m)] for q#1 and [18688.006kg (18,688kg] for q#2
Step-by-step explanation:
Answer:
First blank is 10m
Second blank is 18688kg
Step-by-step explanation:
Use the conversion calculator
Need to get this one right to pass lesson
Answer:
not sure search it up
Step-by-step explanation:
Answer:
33ft²
Step-by-step explanation:
b= base (3)
l= slant height (4)
Surface area = b²+2bl
=3²+2(3)(4)
=9+2(12)
=33
The revenue from a company’s factory in Scranton, PA is given by 2n2-15n+23, where n represents the number of paper goods produced in the factory. The cost in dollars of producing paper goods is given by n2+3n+23. Write and simplify a polynomial expression for the profit from making and selling n paper goods.
Answer:
The polynomial expression for the profit from making and selling 'n' paper goods, is;
n × (n - 18)
Step-by-step explanation:
The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;
R = 2·n² - 15·n + 23
C = n² + 3·n + 23
The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;
The profit, P = R - C
By substituting the polynomials representing 'R', and 'C', we have;
P = 2·n² - 15·n + 23 - (n² + 3·n + 23)
∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23
P = n² - 18·n = n·(n - 18)
P = n·(n - 18)
The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).
Janet has $40. She gives $25 to Emma. What percent of Janet's money
does Emma have?
Answer:
0.625
Step-by-step explanation:
25 divided by 40= 0.625 percent
Describe the error Sadie made, and explain how to find the correct answer. (Refer to image)
Step 1: Explain the error made
Step 2: Explain how to find the correct answer.
a)Error:multiplied the numerator and denominator by 3 instead of 2.
b)The correct answer to the given expression is 8/15.
In the given image, Sadie made an error in the simplification of the expression.
The error is that she multiplied the numerator and denominator by 3 instead of 2.
She simplified the numerator and the denominator before carrying out multiplication by 2.
This resulted in the final answer being incorrect.
The correct answer would be 8/5.
The correct way to simplify the expression is as follows:
[tex]$$\frac{4}{3} \div \frac{5}{6} = \frac{4}{3} \times \frac{6}{5}$$[/tex]
Now, cross-cancelling can be performed because the numerator of the first fraction and the denominator of the second fraction have a common factor of 2.
[tex]$$=\frac{4 \times 2}{3 \times 5} = \frac{8}{15}$$[/tex]
Therefore, the correct answer to the given expression is 8/15.
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probablity question: A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?
Answer: 12.5%
Step-by-step explanation:
i dunno for sure so probably use someone elses answer
In 1945, what concern did the Allies have about invading the Japanese mainland with ground forces? They were worried they did not have enough soldiers. They were worried there would be too great a loss of life. They were worried the Japanese were developing an atomic bomb. They were worried the Japanese had a stronger fleet in mainland ports.
Answer:
b
Step-by-step explanation:
i need points
In 1945, the concern which the Allies had about invading the Japanese mainland with ground forces was:
B. They were worried there would be too great a loss of life.What is an Invasion?This refers to a military tactic where the armed forces of a country or a place go into enemy territory with the aim of defeating the troops and claiming the territory.
With this in mind and from the events in history, we can see that after the bombing of Pearl Harbor by the Japanese Navy, there were concern by the Allies of invading the Japanese mainland with ground forces because they feared the great loss of life.
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Which expression is equivalent to (8x + 14) + (9x - 5)? + A. 22x - 4 B. 31x - 5 C. 17x + 19 D. 17x + 9
Answer: D
Step-by-step explanation: =8x+14+9x+−5
=(8x+9x)+(14+−5)
=17x+9
WHAT IS THE PROBABILITY OF LANDING ON TAILS ON THE FIRST FLIP AND THEN TAILS AGAIN ON THE SECOND FLIP?
Answer:
25%
Since it's 2 in a row, it is divided by 4
technically it depends on the way you flip the coin, its mostly a 50-50
a more answer-y answer to this would be around (heads) 65-35 (tails) in my opinion.
Perform the following test of hypothesis. H0: μ = 285, H1: μ < 285, n = 55, x = 266.89, s = H0 is
By Performing the following test of hypothesis, H0 is rejected.
To perform the test of hypothesis, we compare the sample mean (x) to the hypothesized population mean (μ) and consider the sample size (n) and sample standard deviation (s).
Given:
H0: μ = 285 (null hypothesis)
H1: μ < 285 (alternative hypothesis)
n = 55 (sample size)
x = 266.89 (sample mean)
s = ?
To determine whether to reject or fail to reject the null hypothesis, we calculate the test statistic and compare it to the critical value or p-value.
Since the standard deviation (s) is not given, we cannot directly calculate the test statistic. Without the value of s, we cannot proceed with the hypothesis test. Please provide the value of s to continue with the calculation and draw a conclusion.
The test of hypothesis cannot be performed without the value of the sample standard deviation (s). Please provide the necessary information to proceed with the calculation and draw a conclusion.
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The average U.S. daily internet use at home is 150 minutes (µ). A sample of 81 (n) homes in Philadelphia showed an average usage of 165 minutes (x¯) with a sample standard deviation of 54 minutes (s). We are interested in determining whether the average usage in Philadelphia city is significantly greater than the U.S. average.
1. State your null and alternative hypotheses:
2. What is the value of the test statistic? Please show all the relevant calculations.
3. What is the rejection criterion based on the critical value approach? Use α = 0.05.
4. What is the Statistical decision (i.e., reject /or do not reject the null hypothesis)? Justify your answer.
(1) The explanation is given below.
(2) The value of the test statistic is 2.5.
(3) The rejection criterion based on the critical value approach 1.664$$.
(4) The explanation is given below.
1. Null Hypothesis:H0: µ = 150Alternative Hypothesis:H1: µ > 1502. Test statistic value:We know that, the sample size is greater than 30, which means the sample mean is approximately normally distributed. Now, we need to calculate the test statistic value. The formula for calculating the test statistic value is given by,$$t = \frac{{\left( {{\bar x} - \mu } \right)}}{{\left( {\frac{s}{{\sqrt n }}} \right)}}$$Substituting the given values, we get,$$t = \frac{{\left( {165 - 150} \right)}}{{\left( {\frac{{54}}{{\sqrt {81} }}} \right)}}$$Simplifying the above expression, we get,$$t = \frac{{15}}{{\frac{{54}}{{9}}}}$$$$t =
2.5$$Therefore, the value of the test statistic is 2.5.
3. Rejection criterion based on the critical value approach: The rejection criterion based on the critical value approach is given by$$t > t_{\alpha ,\,df}$$where$α = 0.05$and$df = n - 1 = 81 - 1 = 80$. Now, we need to find the critical value corresponding to 80 degrees of freedom at a 5% level of significance. Using the t-distribution table with 80 degrees of freedom, we get$$t_{0.05, 80} = 1.664$$Therefore, the rejection criterion is$$t > t_{\alpha, df}$$$$\Rightarrow t > 1.664$$
4. Statistical decision: As the calculated value of the test statistic (t = 2.5) is greater than the critical value (t = 1.664), we reject the null hypothesis i.e., we can conclude that the average internet usage in Philadelphia city is significantly greater than the U.S. average. Hence, we can say that the Statistical decision is to reject the null hypothesis.
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We reject the null hypothesis. Thus, the average usage in Philadelphia city is significantly greater than the U.S. average.
1. The null and alternative hypotheses are given below:
Null hypothesis, H0: µ ≤ 150 (Average daily internet use in Philadelphia city is less than or equal to 150 minutes).
Alternative hypothesis, H1: µ > 150 (Average daily internet use in Philadelphia city is greater than 150 minutes)
2. The value of the test statistic is calculated below: t=(x¯−μ)/(s/√n)
Here, x¯ = 165
µ = 150
s = 54
n = 81t
= (165 - 150)/(54/√81)
= 2.50.
Thus, the value of the test statistic is 2.50.
3. The rejection criterion based on the critical value approach is obtained below:
The critical value for α = 0.05 with 80 degrees of freedom is 1.664.
The rejection criterion is t > 1.664.
4. The statistical decision is made by comparing the calculated t-value with the critical value.
If the calculated t-value is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
Here, the calculated t-value is 2.50, which is greater than the critical value of 1.664.
Therefore, we reject the null hypothesis. Thus, the average usage in Philadelphia city is significantly greater than the U.S. average.
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PLEASEEEE SOMEONE HELPP WIRH THIS ANSWERER
Answer:
y = -5x + 1
Slope:
(-9 - -4)/(2 - 1) = -5 = m
name a pear of lines that apper to be parallel
Factor the expression (s):
7x+63
12x+15
36z+60
Mr clay has 75 geese and 125 turkeys. what is the ratio of the number of geese to the total number of birds in the simplest form
Answer:
3/8
Step-by-step explanation:
125+75= 200
75:200= 3/8
3/8 is the ratio of the number of geese to the total number of birds in the simplest form.
find the value of x to the nearest tenth
Answer:
114
Step-by-step explanation:
You would add 46 degree and 20 degrees (66) and subtract (180 - 66 = ?) to get your answer.
Answer:
114
Step-by-step explanation:
Mr. Cox took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was $24, not including the tip. How many miles did Mr. Cox travel on his ride? (7.EE.4a)
A 2
B 6
C 8
D 10
Answer:
B) 6 miles
Step-by-step explanation:
(24 - 6)/3 = 6 miles
Pls help with this math
PLEASE HELP WITH THIS QUESTION!!
NO LINKS PLEASE
Answer:
Step-by-step explanation:
g(x)=[x-4] h(x)= [x] -5
h= -5
g=[x-4]
x x
g=4
Find the following combinations
Answer:
3
Step-by-step explanation:
HELPPPP ASAPPPP PLEASE
A postal service offers flat-rate shipping for mail in special boxes. Today, Ahmed shipped 1
small box and 6 medium boxes, which cost him 360 dirhams to ship. Meanwhile, Sarah
shipped 3 small boxes and 6 medium boxes, and paid 420 dirhams.
a) Write a system of equations that represents Ahmed and Sara's purchases.
Answer:
Ahmed:
x + 6y = 360
Sarah:
3x + 6y = 420
Step-by-step explanation:
Let
Cost of the small box = x
Cost of the medium box = y
Ahmed:
x + 6y = 360
Sarah:
3x + 6y = 420
x + 6y = 360 (1)
3x + 6y = 420 (2)
Eliminate y by subtracting (1) from (2)
3x - x + 6y - 6y = 420 - 360
2x = 60
x = 60/2
x = 30
Substitute x = 30 into (1) to find y
x + 6y = 360
30 + 6y = 360
6y = 360 - 30
6y = 330
y = 330/6
y = 55
Cost of the small box = x = 30 dirhams
Cost of the medium box = y = 55 dirhams
May someone help me please. Solve for x and then find the indicated length. Pleaseee
Answer:
16
Step-by-step explanation:
3x + 4 = x + 12 [The straight line on the segments AB and BC indicate that they are the same length]
2x = 8 [Subtract x and 8 from both sides]
x = 4 [Divide both sides by two]
Length AB is equal to (3x + 4) as indicated by the diagram. Substituting x = 4, (3 * 4) + 4 = 16
Frequency of Amino Acids
Im currently starting a biostats summer course and Im still confused about how to calculate probability.
My Question is
If the overall genome frequency of cytosine (A) and guanine (T) is A=0.2 and T=0.2, at what frequency would you expect to find the sequence AT, assuming random order?
If you observed N ATs out of a genome of length L, how might you determine whether the observed N is significantly underrepresented relative to expectation?
To calculate the expected frequency of the sequence "AT" assuming a random order, we can multiply the individual frequencies of "A" and "T" in the genome. In this case, since the frequency of cytosine (A) is 0.2 and the frequency of guanine (T) is also 0.2, we multiply these values:
Expected frequency of "AT" = Frequency of "A" * Frequency of "T" = 0.2 * 0.2 = 0.04
Therefore, we would expect to find the sequence "AT" at a frequency of 0.04 in a genome with a random order.
To determine whether the observed N occurrences of "AT" are significantly underrepresented relative to expectation, we can employ statistical tests.
One commonly used test is the chi-square test. By comparing the observed frequencies with the expected frequencies based on a random distribution, we can assess whether the deviation is statistically significant.
The chi-square test measures the difference between observed and expected frequencies, taking into account the sample size (genome length, L) and degrees of freedom.
If the calculated chi-square value exceeds a critical threshold, it suggests that the observed frequency of "AT" is significantly different from the expected frequency under random distribution.
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find the angles marked with a letter
Answer:
Step-by-step explanation:
O;B
YALL I need your help! I need to turn this is asap
Answer:
$1.50
25% of 6 is 1.5
Answer: $1.50
Step-by-step explanation:
0.25x5.99= 1.4975 which would round to 1.5
An equation of the cone z = √3x² + 3y2 in spherical coordinates is: P = 3 ¢ = 7 This option None of these This option This option This option Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5-x² - y² where x 20 and y 20. Which of the following triple integral in cylindrical coordinates allows us to evaluate the volume of D? 2-47² √√√³√²-²³ dzdrdo ar dzdrde This option for r dzdrde This option This option None of these This option Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. Which of the following triple integral in spherical coordinates allows us to evaluate the volume of D? fofo ₂ p²sinodpdode of p²sinodododo This option p²sinodpode This option This option None of these
An equation of the cone z = √3x² + 3y² in spherical coordinates is: None of these. A cone is formed by rotating a straight line around an axis when one end of the straight line remains fixed.
For example, if the equation of a cone is known, we may use calculus to calculate the cone's volume and surface area. Cone: A cone is a three-dimensional geometric shape that has one circular base at one end and a single point at the other end. A cone's height is the distance from the tip to the base surface's center. The angle formed between the slant height and the base radius is called the cone's half-angle. The vertical plane that passes through the cone's apex and base centerline is called the cone's axis.
Spherical coordinates: In three-dimensional space, spherical coordinates are a coordinate system. Three parameters, the radial distance r, the polar angle θ, and the azimuthal angle φ, are used to specify the position of a point using spherical coordinates. In this case, the radial distance, which is the distance from the origin, is r, and the polar angle and azimuthal angles are represented by θ and φ, respectively. Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x² + y² ≤ 4.
The cylindrical coordinate system is a three-dimensional coordinate system that uses cylindrical polar coordinates to specify a point in space. Cylindrical coordinates are a generalization of two-dimensional polar coordinates, which are used to define a point in the plane. The integral that allows us to calculate the volume of the region is given by: ar dzdrde. Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. The integral that allows us to calculate the volume of the region is given by: p²sinodpdode.
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