9.A game show producer asked 100 randomly selected adults, “Have you ever bungee jumped?” Of the adults surveyed, 14 said “Yes!” Is there convincing statistical evidence that the true proportion of all adults that have bungee jumped is more than 10%?
(A)No, because the difference between the sample proportion and the population proportion is only 0.04, which is not greater than 0.05.
(B)No, because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is greater than 0.05.
(C)Yes, because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is greater than 0.05.
(D)Yes, because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is less than 0.05.
(E)Yes, because the difference between the sample proportion and the population proportion is 0.04, which is less than 0.05.​

Answers

Answer 1

Answer: B.

Explanation: No, Because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is greater than 0.05.

Answer 2

Let us recall from given question that,

H0:p=0.80

Ha:p≠0.80 (which is the two tailed test)

For the p-value we have,

P-value: Let us assume that the null hypothesis is true, then the probability of observing the sample statistics or the  more extreme,

Therefore if p= 0.80, the probability of observing or detecting proportion of samples is of at least 0.84 or at most 0.76 is 0.273.

What occurs in Type I error?

A Type I error occurs in hypothesis testing when one is rejects the null hypothesis and the null hypothesis is true.

To reject the null hypothesis, statisticians conduct hypothesis testing. However, the process is always accompanied by the possibility of making a mistake. These are referred to as hypothesis testing errors.

Type I and Type II errors are the two mutually exclusive errors in hypothesis testing. Type II errors occur when a statistician fails to reject a false null hypothesis, whereas Type I errors occur when a statistician correctly rejects a genuine null hypothesis. So, c is the right response.

Therefore if p= 0.80, the probability of observing or detecting proportion of samples is of at least 0.84 or at most 0.76 is 0.273.

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Related Questions

In extreme driving conditions such as snow, ice or heavy rain, you should stay at
least seconds behind the next vehicle.
A. 2-3
B. 4
C. 6-10

Answers

C 6-10 because if it’s extreme weather there a higher chance of car crashes or accidents the farthest is the safest.
C would be your best bet

4. An organization that strives to hold agencies accountable for truth in news reporting plans to select a random sample of 100 news stories from major U.S. news agencies in order to estimate the proportion of news stories produced by major U.S. news agencies that contain false information. A 90 percent confidence interval for the proportion of all news stories that contain false information will then be constructed. Before selecting the sample, the organization determines that they want to make the margin of error as small as possible. Which of the following is the best way for them to decrease the margin of error?
(A)Increase the confidence level to 95%.
(B)Increase the confidence level to 99%.
(C) Include a wider diversity of sources, such as local and international news agencies.
(D)Include news stories over a broad period of time, such as over the past decade.
(E) Increase the sample size.​

Answers

Answer: E) Increase the sample size

Explanation: with the confidence level and sample proportion held constant, the margin of error will decrease as the sample size increases.

How did monasticism impact Buddhism?

Answers

It impacted Buddhism because they had different beliefs so people were confused.
One of the important factors in the spread and growth of Buddhist monasticism was its adaptability. As long as monks and nuns preserved the basic teachings and social behavior patterns, Buddhism could be translated into any language or culture.

8. Candidate A and Candidate B are running for president. You are planning a survey to determine what proportion of registered voters plan to vote for Candidate A (p). You will contact a random sample of registered voters. You want to estimate p with 99% confidence and a margin of error no greater than 0.01. What is the minimum number of registered voters you will need to survey in order to meet these requirements?
(A)97
(B)166
(C)6,766
(D)9,604
(E)16,590​

Answers

Answer:

The correct answer is (E).

The minimum sample size of registered voters that are needs to be surveyed in order to meet these requirements is 16590 registered voters.

What is the required sample size?

The sample size, n, can be calculated using the formula below:

[tex]n = \frac{z^{2}×p(1-p)}{(\frac{ε}{2}) ^{2}}[/tex]

where:

z = is the z scoreε is the margin of errorpis the population proportion

For the data provided:

z for 99% confidence = 2.58

ε/2 = 0.005

p = 0.5

Substituting the values:

[tex]n = \frac{2.58^{2}×0.5(1-0.5)}{0.005^{2}} = 16641[/tex]

Therefore, the minimum sample size of registered voters that are needs to be surveyed in order to meet these requirements is 16590 registered voters.

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10. Lindsey is an avid tennis player. She kept track of the number of winners she had per game for an entire season. The shape of the distribution of the number of winners is roughly symmetric and the five- number summary of the number of winners is: Min: 10 Q1: 18 Med: 48 Q3: 79 Max: 92
Luke is Lindsey’s biggest rival. The average number of winners Luke had per game for the season has the same value as Lindsey’s IQR. Who had the greatest average number of winners this season? Explain.
(A)Lindsey, she averaged approximately 48 winners per game while Luke only averaged 18 winners per game.
(B)Lindsey, she averaged approximately 49.4 winners per game while Luke only averaged 48 winners per game.
(C)Luke, he averaged 61 winners per game while Lindsey only averaged approximately 48 winners per game.
(D)Luke, he averaged 61 winners per game while Lindsey only averaged approximately 79 winners per game.
(E)There is not enough information provided to determine Lindsey’s average.​

Answers

Answer:

c

Explanation:

Tara mows lawns as a summer job. She
charges $9.50 for each lawn plus $2.50 for
every hour she works. The gasoline she needs
to mow an average lawn costs $1.85. Write an
expression for the profit Tara makes from
cutting a single lawn.

Answers

Answer:

9.50+(2.50x)1.85

Explanation:

I think this might be it because you don't really get the time she works for a lawn

Answer:

7.65 + 2.50h

Explanation:

The original expression for finding her profit is:

($9.50x + $2.50h) - 1.85x

x being the number of lawns she mows

h being the number of hours she works

If she were to only mow one lawn, the expression would be:

($9.50(1) + $2.50h) - 1.85(1)

h remains constant because we do not know the number of hours she works for

The above expression simplified:

($9.50 + $2.50h) - 1.85

So, I do... $9.50 - 1.85 to get...

$7.65 +$2.50h

1.Sharon is a good student who enjoys statistics. She sets a goal for herself to do well enough compared to her peers so that her standardized score on her Statistics final is equal to her percentile rank (written as a decimal) among her classmates. What goal did she set for herself?
(A)0.25
(B)0.78
(C)1.09
(D)2.25
(E)2.41​

Answers

Answer: B

Explanation: 0.78

How do fishing gears cause decrease in the population of marine species?
A) by changing water drifts
B) by decreasing phytoplankton population
by causing loss of habitat
D) by increasing water salinity
Please select the best answer from the choices provided
<
OOO
O

Answers

Answer:

wrong its d

Explanation:

YOU WILL GET BRAINLIEST!! What could help a country move from Stage 1 to Stage 2 of the demographic
transition?
- Instituting population restrictions
-increased immigration
-The diffusion of contraceptives
-better sanitation
-Improving education for women

Answers

Answer:

i would think population restrictions  

Explanation

stage 2 is characterized by a rapid decrease in a country’s death rate so the total population of a country in Stage 2 will rise

11. Which of the following is FALSE?​

Answers

Answer:

E. This die appears to be fair because of the proportion of sixes fluctuates greatly.

Explanation:

I hope this helped if its wrong then im sorry.

It’s D I’m pretty sure

What is the derivative of -cot(2x)?

Answers

Answer:

[tex]\displaystyle y' = 2 \csc^2 (2x)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Explanation:

Step 1: Define

Identify

[tex]\displaystyle y = - \cot (2x)[/tex]

Step 2: Differentiate

Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   [tex]\displaystyle y' = - \big(- \csc^2 (2x) \big)(2x)'[/tex]Simplify:                                                                                                         [tex]\displaystyle y' = \csc^2 (2x)(2x)'[/tex]Basic Power Rule [Derivative Property - Multiplied Constant]:                 [tex]\displaystyle y' = 2 \csc^2 (2x)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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