A public opinion survey investigated whether a majority (more than 50%) of adults supported a tax increase to help fund the local school system. A random sample of 200 adults showed that 113 of those sampled supported the tax increase.
Researchers used these results to test H0:p=0.5 versus Ha:p>0.5, where p is the true proportion of adults that support the tax increase. They calculated a test statistic of z≈1.84 and a corresponding P-value of approximately 0.033.
Assuming the conditions for inference were met, which of these is an appropriate conclusion?
A. At the α=0.01 significance level, they should conclude that more than 50% of adults support the tax increase.
B. At the α=0.01 significance level, they should conclude that less than 50% of adults support the tax increase.
C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
D. At the α=0.05 significance level, they should conclude that less than 50% of adults support the tax increase.
Answers
Answer: C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
Step-by-step explanation:
Given: Null hypothesis: [tex]H_0:p=0.5[/tex]
Alternative hypothesis: [tex]H_a: p>0.5[/tex]
p-value = 0.033
If the p-value is greater than alpha (p > . 05), then we fail to reject the null hypothesis.
If α=0.01 , then p-value > α i.e. we fail to reject the null hypothesis.
Conclusion: Exactly 50% of adults support the tax increase.
If α=0.05 then p-value < α i.e. we reject the null hypothesis.
Conclusion: more than 50% of adults support the tax increase.
Thus, Correct option: C .
Answer: At the a = 0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
Step-by-step explanation:
Related Questions
Help me please it’s for math class
Answers
Answer:
No solution
Step-by-step explanation:
To start, a solution requires the lines to intersect
However both lines share a slope of -3 and are thus parallel
Since parallel lines dont intersect, there is no solution
Answer:
Hi! The answer to your question is A. No solution, i also have a picture to help you if u need it.
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Calculus helpppppppppppppppp
Answers
Answer:
[tex]\displaystyle y' = \frac{5x^2 + 3}{3(1 + x^2)^\bigg{\frac{2}{3}}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
FunctionsFunction NotationExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Algebra II
Logarithms and Natural LogsLogarithmic Property [Multiplying]: [tex]\displaystyle log(ab) = log(a) + log(b)[/tex]Logarithmic Property [Exponential]: [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Calculus
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Logarithmic Derivative: [tex]\displaystyle \frac{d}{dx} [lnu] = \frac{u'}{u}[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = x\sqrt[3]{1 + x^2}[/tex]
Step 2: Rewrite
[Equality Property] ln both sides: [tex]\displaystyle lny = ln(x\sqrt[3]{1 + x^2})[/tex]Logarithmic Property [Multiplying]: [tex]\displaystyle lny = ln(x) + ln(\sqrt[3]{1 + x^2})[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle lny = ln(x) + ln \bigg[ (1 + x^2)^\bigg{\frac{1}{3}} \bigg][/tex]Logarithmic Property [Exponential]: [tex]\displaystyle lny = ln(x) + \frac{1}{3}ln(1 + x^2)[/tex]Step 3: Differentiate
ln Derivative [Implicit Differentiation]: [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx} \bigg[ ln(x) + \frac{1}{3}ln(1 + x^2) \bigg][/tex]Rewrite [Derivative Property - Addition]: [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx}[ln(x)] + \frac{d}{dx} \bigg[ \frac{1}{3}ln(1 + x^2) \bigg][/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx}[ln(x)] + \frac{1}{3}\frac{d}{dx}[ln(1 + x^2)][/tex]ln Derivative [Chain Rule]: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot \frac{d}{dx}[(1 + x^2)][/tex]Rewrite [Derivative Property - Addition]: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot \bigg( \frac{d}{dx}[1] + \frac{d}{dx}[x^2] \bigg)[/tex]Basic Power Rule]: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot (2x^{2 - 1})[/tex]Simplify: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot 2x[/tex]Multiply: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{2x}{3(1 + x^2)}[/tex][Multiplication Property of Equality] Isolate y': [tex]\displaystyle y' = y \bigg[ \frac{1}{x} + \frac{2x}{3(1 + x^2)} \bigg][/tex]Substitute in y: [tex]\displaystyle y' = x\sqrt[3]{1 + x^2} \bigg[ \frac{1}{x} + \frac{2x}{3(1 + x^2)} \bigg][/tex][Brackets] Add: [tex]\displaystyle y' = x\sqrt[3]{1 + x^2} \bigg[ \frac{5x^2 + 3}{3x(1 + x^2)} \bigg][/tex]Multiply: [tex]\displaystyle y' = \frac{(5x^2 + 3)\sqrt[3]{1 + x^2}}{3(1 + x^2)}[/tex]Simplify [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{5x^2 + 3}{3(1 + x^2)^\bigg{\frac{2}{3}}}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Solve the equation using the method of completing the square.
Answers
Answer:
D) x = ± 2√5 - 4
Step-by-step explanation:
2x² + 16x - 8 = 0
Yah, i plugged this into m a t h w a y
(all of ur questions pretty much can use this app or website)
Answer:
D
Step-by-step explanation:
Given
2x² + 16x - 8 = 0 ( divide through by 2 )
x² + 8x - 4 = 0 ( add 4 to both sides )
x² + 8x = 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(4)x + 16 = 4 + 16
(x + 4)² = 20 ( take the square root of both sides )
x + 4 = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± 2[tex]\sqrt{5}[/tex] ( subtract 4 from both sides )
x = - 4 ± 2[tex]\sqrt{5}[/tex] → D
At a school health fair, individual pieces of fruit are placed in paper bags and distributed to students randomly. There are 20 apples, 15 apricots, 25 bananas, 25 pears, and 30 peaches. Write the answer as a fraction in simplest form. Find the probability of NOT getting an apple.
Answers
Answer:
Around 82%
Step-by-step explanation:
95/115
Last year 5200 people entered a contest to win free swimming lessons at the rec center. This year there was a 14% increase in the number of entrees. How many entries were there this year?
Answers
Answer:
There were 5928 entries
Step-by-step explanation:
You multiply 14% by 5200, which is 0.14 in decimal form, and you get 728. Then you add 5200 and 728 together, since 14% of 5200 is 728
If you apply the changes below to the quadratic parent function, f(x) = x?,
what is the equation of the new function?
• Shift 1 unit right.
• Vertically stretch by a factor of 5.
• Reflect over the x-axis.
O A. g(x) = (-5x + 1)2
O B. g(x) = -5(x + 1)2
O C. g(x) = 5x2 - 1
O D. g(x) = -5(x - 1)2
Answers
Answer:
The answer is A
Step-by-step explanation:
(D) g(x) = -5(x-1)² is the correct answer for the given changes in function.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
The starting parent function is f(x) = x².
To shift 1 unit right, we need to replace x with (x-1).
To vertically stretch by a factor of 5, we need to multiply the function by 5.
To reflect over the x-axis, we need to multiply the function by -1.
So the new function g(x) can be written as:
g(x) = -5(x-1)²
Therefore, the correct answer is (D) g(x) = -5(x-1)².
Learn more about function here:
https://brainly.com/question/29633660
#SPJ7
Help with my assignment please
I couldn’t fit part b in the picture so can you please answer this too
Part B
Write the length of the hypotenuse rounded to
nearest hundredth.
The length of the hypotenuse is
Answers
Answer:
the answer ti the first one is B
Step-by-step explanation:
hypotenuse is 12.649
Order the numbers from least to greatest!
Answers
Answer:
edcafgb
Step-by-step explanation:
-2 1/2 = -5/2 < -2 < -1.75 < -1 < 1.75 < 9/4
*-2 1/2 and -5/2 are the same.
A high school basketball coach wants to see whether there is a linear relationship between player height, x , and the number of points scored in a game by basketball players in the coach’s state, y. The 96 percent confidence interval to estimate the slope of the linear regression line relating player height to points scored in a game is calculated to be (−0.432,1.844) . Assume all conditions for inference for the slope of a regression line were met. Based on the confidence interval, which of the following claims is supported by the confidence interval?
A. Each player scored at most 1.844 points in a game.
B. The average difference between actual points scored and predicted points scored is between -0.432 and 1.844.
C. There is a positive linear relationship between player height and number of points scored for basketball players in the coach's state.
D. There is a negative linear relationship between player height and number of points scored for basketball players in the coach's state.
E. It cannot be determined whether the linear relationship between player height and number of points scored for basketball players in the coach's state is positive or negative
Answers
Answer:
E
Step-by-step explanation:
Since 0 is in confidence interval, and negative and positive values are also, we are 96% confident in all possible answers in this interval so since true slope could be negative or positive in our interval, we cannot determine it
It cannot be determined whether the linear relationship between player height and number of points scored for basketball players in the coach's state is positive or negative (Option E)
How to interpret the confidence interval?Suppose the confidence interval at P% for some parameter's values is given by
[tex]x \pm y[/tex]
That means, that parameter's estimated value is P% probable to lie in the interval
[tex][x-y,x+y][/tex]
For this case, the slope of the linear regression line relating player height to points scored in a game is in the interval (−0.432,1.844) with 96% confidence.
So, we are 96% sure about the slope of the considered linear regression being in this interval. There is nothing more conveyed by this confidence interval about the slope.
Option A, B, C and D therefore are false as they state facts about slope which are not obtainable from the given data.
Thus, "it cannot be determined whether the linear relationship between player height and number of points scored for basketball players in the coach's state is positive or negative "(Option E) is corect here.
Learn more about confidence interval here:
https://brainly.com/question/16148560
Find the volume of the prism. Write your answer as a decimal.
6 ft.
9 ft
4.5 ft
helpp plss
Answers
Answer:
Step-by-step explanation:
It would be 2.43ft cubed. You first have to multiply 6 x 9 to get 54 and then Do 54 x 4.5 to get 243 ft cubed. Next you have to put it in fraction form 243/100. After that you have to divide 243 by hundred( you can do this by moving the decimal place two places to the left) and you get the answer 2.43 ft cubed
amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account
Answers
Your information:
I = (870)(0.08)(5)
I = 348
Add the interest to the principal for your total balance
348 + 870 = $1218 will be the total balance in the account.
Mr. Sonny's science class is calculating the average number of blinks per minute. Jan blinks 72 times in 4 minutes. What is her
blinking rate, in blinks per minute?
Answers
Answer:
18
Step-by-step explanation:
Consider two matrices, A and B
To do the operation shown, which statements must be true about Matrix A and Matrix B?
AxB
A. The number of columns in Matrix A must equal the number of rows in Matrix B
B. The number of rows in Matrix A must equal the number of columns in Matrix B
C. The number of rows in Matrix A must equal the number of rows in matrix B
D. The number of columns in Matrix A must equal the number of columns the matrix B
Answers
pls help me answer this
Answers
Answer:
C
Step-by-step explanation:
Bc everything is positioned right
I hope this helps
URGENT HELP
Solve for X
Answers
Answer:
x = 3
Step-by-step explanation:
95 + 85 + 100 + 27x -1 = 360
280 + 27x - 1 = 360
279 + 27x = 360
27x = 81
x = 3
Double check your work:
95 + 85 + 100 + 27(3) - 1 = 360
95 + 85 + 100 + 81 -1 =360
360 = 360
draw to show 5- 2 on the number line
Answers
Answer:
the image is there
Step-by-step explanation:
10. Beth has a wooden box. The inside of the box is 5 inches wide, 8.25 inches
long, and 4.5 inches tall. The box has not top. Beth wants to line the box with fest
to protect the items she puts in the box. How many square inches of felt will she
need?
Answers
Answer:
the answer is 41.25
Step-by-step explanation: You multiply 5 x 8.25 at least thats
what I think
Find the surface area or i will kiII myseIf (I give brainliest! :D)
Answers
Answer:
I'll cya in h.e.l.l
ima k.i.l.l. myself as well if they don't give us the answer
Step-by-step explanation:
Answer:
I believe its 122
Step-by-step explanation:
122 total surface area
6 friends are going to a bowling alley. They have to pay a fee per game and $2 to
rent shoes. If they plan on only playing one game, the cost is $48.
Answers
Answer:
3
Step-by-step explanation:
Let x be the number of games they bowled.
Then, we know that each shoe rental was $2.50. So, the total cost for shoes was 3 * $2.50 = $7.50
The total number of games they bowled was 3 * x (since there were 3 persons).
Now, the cost per game was $5.30. So, the total cost for games bowled (minus shoes) was:
3x($5.30) = $15.90x
Now, add the cost of the shoes ($7.50) and you have the total cost ($55.20):
$15.90x + $7.50 = $55.20
Subtract $7.50 from both sides:
$15.90x = $47.70
Divide both sides by $15.90:
x = 3 (the number of games they bowled)
Someone know this? Pls I really need help
Answers
Answer:
Step-by-step explanation:
d₃₄ = Value in the 3rd row and 4th column
= 0
m₁₃ = Value in the 1st row and 3rd column
= 2
k₂₁ = Value in the 2nd row and 1st column
= 1
Find the slope and the y intercept
Answers
Y intercept = (0,2)
In AABC, mZA = 75° and mZC = 20°, What is mZB?
Answers
Answer:
3.75 degrees if you need to divide, addition then it is 95 degrees, subtraction 55 degrees, and if it's multiplication 1500 degrees
IF THERE ARE LINKS IN THE ANSWERS DO NOT DOWNLOAD THE FILE IT IS NOT AN ANSWER IT IS A VIRUS
write down 4 common multiple of 9 and 6
Answers
Answer:
hi
Step-by-step explanation:
i think so
18,36,54
there is only 3
hope it helps
have a nice day
Answer:
18, 36, 90, 180 are 4 common multiples of 9 & 6!
Hope this helps!
A car journey is in two stages Stage1 the car travels 110 miles in 2 hours Stage 2 the car travels 44 miles at the same average speed as stage 1 Work out the time for stage 2 Give you answer in minutes.
Answers
9514 1404 393
Answer:
48 minutes
Step-by-step explanation:
The average speed for stage 1 is ...
speed = distance/time = (110 mi)/(2 h) = 55 mi/h
Then the time for stage 2 is ...
time = distance/speed = (44 mi)/(55 mi/h) = (4/5 h)(60 min/h) = 48 min
The time for stage 2 is 48 minutes.
Answer:
Solution :-We know that
SpeeD = Distance/Time
Speed = 110/2
Speed = 55 mi/hr
For, 2
Speed = 44/55
Speed = 4/5
Speed = 48 min
[tex] \\ [/tex]
HELP ASAP
Find the value of x. Round to the
nearest tenth.
16
Х
x = [?]
Answers
Answer:
x = 9. 177
Step-by-step explanation:
[tex]12 {?}^{2} [/tex]
Answers
1. In a fishing contest, the two largest bass weighed a total
of 22 pounds. The first-place bass weighed 8 pounds
more than the second-place bass. Find the weights of
the first-place and second-place bass.
Answers
Answer:
First place fish weights 15 pounds.
Second place fish weights 7 pounds.
Step-by-step explanation:
7+8=15
15+7=22
Hope this helped!
Find the slope.
help me find the answer,real answers only!
Answers
-2
step-by-step explanation:
rise over run
so down two over one = negative two
If Jamal currently has 2000 in saving, he will need to Save________each month
Answers
Plz answer now Presenting your findings best fits which step of the statistical process?
a) Form a question that can be answered by data.
b) Design and implement a plan that collects data.
c) Analyze the data using graphical and numerical methods.
d) Interpret and compare the data.
Answers
Answer:
Interpret and compare the data
Step-by-step explanation:
when you compare you are presenting your information and data to others and they present theirs to you.
Answer:
Interpret and compare the data
Step-by-step explanation: