Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 69 stocks traded on the NYSE that day showed that 31 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of α = 0.05 α = 0.05 . What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α α greater than α α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3. There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3. The sample data support the claim that the proportion of stocks that went up is more than 0.3. There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is more than 0.3.
Answers
Testing the hypothesis, it is found that:
The test statistic is 2.71.The p-value is 0.0034.The p-value is less than [tex]\alpha[/tex]The test statistic leads to a decision to reject the null hypothesis.The sample data support the claim that the proportion of stocks that went up is more than 0.3.At the null hypothesis, we test if the proportion of stocks that went up is of 0.3, that is:
[tex]H_0: p = 0.3[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 0.3, that is:
[tex]H_1: p > 0.3[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.3, n = 69, \overline{p} = \frac{31}{69} = 0.4493[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4493 - 0.3}{\sqrt{\frac{0.3(0.7)}{69}}}[/tex]
[tex]z = 2.71[/tex]
The test statistic is 2.71.
The p-value is the probability of finding a sample proportion of 0.4493 or above, hence, it is 1 subtracted by the p-value of z = 2.71.
Looking at the z-table, z = 2.71 has a p-value of 0.9966.
1 - 0.9966 = 0.0034
The p-value is 0.0034.
Which is less than [tex]\alpha[/tex], and then the test statistic leads to a decision to reject the null hypothesis, and thus:
The sample data support the claim that the proportion of stocks that went up is more than 0.3.
A similar problem is given at https://brainly.com/question/25413788
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Solve the system of equations using substitution.
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Answer:
x=9
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Step-by-step explanation:
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Find the excluded value of the Following. Make sure to show the solution.
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factorise the following
a) 5x-x²
b) x²-6x-27
c) x²+x-56
d) x³+8
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Answer:
Below.
Step-by-step explanation:
a) 5x-x² = x(5 - x).
b) x²-6x-27 = (x - 9)(x + 3).
c) x²+x-56 = (x - 7)(x + 8).
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Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% more than the manufacturer's purchase price of a new drone. write a function to determine the total amount a customer saves if they purchase a used drone rather than a new drone from Jim's store. let x represent the manufacturer's purchase price of the drone
Answers
The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x
He sells used drones at 70% of the price (x).
So, the selling price of a used drone is:
[tex]\mathbf{Used = 70\% \times x}[/tex]
Express percentage as decimal
[tex]\mathbf{Used = 0.7 \times x}[/tex]
[tex]\mathbf{Used = 0.7x}[/tex]
Also, he sells new drones at 15% more of the price (x).
So, the selling price of a new drone is:
[tex]\mathbf{New= (1 + 15\%) \times x}[/tex]
Express percentage as decimal
[tex]\mathbf{New= (1 + 0.15) \times x}[/tex]
[tex]\mathbf{New= 1.15 \times x}[/tex]
[tex]\mathbf{New= 1.15x}[/tex]
The amount saved is the difference between the prices of the drones.
So, we have:
[tex]\mathbf{Saved =New - Old}[/tex]
This gives
[tex]\mathbf{Saved =1.15x- 0.7x}[/tex]
Subtract
[tex]\mathbf{Saved =0.45x}[/tex]
Express as a function
[tex]\mathbf{f(x) = 0.45x}[/tex]
Hence, the function for the amount saved is f(x) = 0.45x
Read more about proportions at:
https://brainly.com/question/13114933
Mr. Mole left his burrow and started digging his way down.
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A= -2.3t-7
How fast did Mr. Mole descend?
___ meters per minute
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PLS HELP ME IMMA CRY ONGG GGHGHJH
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Answer:
127
Step-by-step explanation:
We started at 7
We keep going up 3
multiply
[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term
Answer:
I believe its 127?
Step-by-step explanation:
I solved this by 7+3x40 and that was my answer.
Please tell me if its wrong, if so tell me what the correct one is. :)
Have a good day!
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? Steve has 7 biscuits in a tin. There are 3 digestive and 4 chocolate biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
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Using the hypergeometric distribution, it is found that there is a 0.5714 = 57.14% probability that he chooses two different types of biscuits.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, the values of the parameters are given as follows:
N = 7, k = 3, n = 2.
The probability that he chooses two different types of biscuits is P(X = 1), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,7,2,3) = \frac{C_{3,1}C_{4,1}}{C_{7,2}} = 0.5714[/tex]
More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394
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what is the coefficient of the first term in the expression 8x+3y+4
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Answer:
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Step-by-step explanation:
Change the ratio to a fraction
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Simplifying it gives us
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Answer:
if there are 2 negatives by each other it would become a postive so -5+8
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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have a great day!
which expressions are equivalent to 4 (4a + 5)
choose 3 answers
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E. 16a + 5 + 4
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Answer:
B 16a + 20
Step-by-step explanation:
4(4a + 5) = 4 times 4a + 4 times 5
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
x = -10
Step-by-step explanation:
Equation:
-52 = 5x - 2 [tex]\longmapsto[/tex] Add 2 to both sides
-50 = 5x [tex]\longmapsto[/tex] Divide both sides by 10
x = -10
-Chetan K
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Answer:
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Step-by-step explanation:
brainliest please?????
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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tatiana had $350. she spent $180 on herself ad the rest on presents for her family.writ an equation to express how much tatiana spent on her family.
Answers
Answer:
$350 - $180 = $170
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Step-by-step explanation:
Answer:
Equation to express how much Tatiana spent on her family
= $(350-180)
The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth. A. 26. 7 feet b. 30. 2 feet c. 40. 8 feet d. 42. 9 feet.
Answers
The expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The given parameters are:
[tex]\mathbf{\theta =36^o}[/tex] --- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the treeh represents the height of the treeThe distance (s) is then calculated using the following sine ratio
[tex]\mathbf{ sin(\theta) = \frac{h}{s}}[/tex]
Make s the subject
[tex]\mathbf{ s = \frac{h}{sin(\theta)}}[/tex]
Substitute [tex]\mathbf{\theta =36^o}[/tex]
[tex]\mathbf{ s = \frac{h}{sin(36)}}[/tex]
Evaluate sin(36)
[tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The height of the tree is not known.
Hence, the expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
Read more about elevations and distance at:
https://brainly.com/question/14550522
The expression that represents the required distance is
The given parameters are:
--- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the tree
h represents the height of the tree
The distance (s) is then calculated using the following sine ratio
Make s the subject
Substitute
Evaluate sin(36)
The height of the tree is not known.
Hence, the expression that represents the required distance is
Read more about elevations and distances at:
brainly.com/question/14550522
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The sum of 3 odd integers is 33. what is the second integer? (and how would I show my work)
Answers
If you do 33/3 it is 11
Can anyone help me with this question please I really need help please I’ll mark as brainliest
Answers
Answer:
[tex]f(x)=-11\times(7^x^-^1)[/tex]
Step-by-step explanation:
Stare at the numbers. Especially the first two. First one is -11. Second is [tex]-11\times 7[/tex]. Let's guess you keep multiplying. [tex]-77\times 7=-539[/tex]. Smells correct, let's confirm with the last one: [tex]-539\times7 = -3773[/tex]. I think we found a pattern. Each element is 7 times the previous one. With some practice you can just write the function, else let's divide by -11 away and let's see what we get:
[tex]f(1) = 1=7^0; f(2)=7; f(3)=7^2; f(4)=7^3[/tex]. Basically, the exponent is 1 less than the value we're evaluating the function. That leads tho the following
[tex]f(x)=-11\times(7^x^-^1)[/tex]
math need helps i will brainliest
Answers
Answer:
81/256
Step-by-step explanation:
The exponent 4 is meaning how many times you have to multiply a number it is on top of.
So you need to multiply 3/4, 4 times by itself
So
3/4* 3/4* 3/4* 3/4
3 times 3 times 3 times 3 is 81
4 times 4 times 4 times 4 is 256
So the answer is 81/256
Hope this helps!
Alexa is y years old. Nate is 22 years old, and Alexa is one-half Nate's age Which equation shows an equality between two different ways of expressing Nate's age? OA) 22 = 2y OB) 22 = 2 + y OC) 22==y - 22 OD 22 = y2
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Answer:
A. is the correct answer
Step-by-step explanation:
Stay safe.