Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

b) Reject the alternative hypothesis

c) Fail to reject the null hypothesis

d) Fail to reject the alternative hypothesis

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the null hypothesis.

H o :p =.5 where p is the true proportion of Americans who can name one justice currently serving.

H o : p <.5, where p is the true proportion of Americans who can name one justice currently serving.

H o :p >.5 where p is the true proportion of Americans who can name one justice currently serving.

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the alternative hypothesis.

H a : p<.5, where p is the true proportion of Americans who can name one justice currently serving.

H a : p=.5, where p is the true proportion of Americans who can name one justice currently serving.

H a : p>.5, where p is the true proportion of Americans who can name one justice currently serving.

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the alternative hypothesis.

H a : p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

H a : p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

H a : p <.75, where p is the true proportion of Americans who believe rudeness is worsening.

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the null hypothesis.

H o : p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

H o : p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

H o : p < .75, where p is the true proportion of Americans who believe rudeness is worsening.

The Associated Press found that 730 of 1000 randomly selected adults preferred to watch movies at home rather than at a movie theater. Is there convincing evidence that the majority of adult Americans prefer watching movies at home? State the alternative hypothesis.

H a : p > .50, where p is the true proportion of adult Americans who prefer watching movies at home.

H a : p = .50, where p is the true proportion of adult Americans who prefer watching movies at home.

H a : p < .50, where p is the true proportion of adult Americans who prefer watching movies at home.

The Associated Press found that 730 of 1000 randomly selected adults preferred to watch movies at home rather than at a movie theater. Is there convincing evidence that the majority of adult Americans prefer watching movies at home? State the null hypothesis.

H o : p = .50, where p is the true proportion of adult Americans who prefer watching movies at home.

H o : p > .50, where p is the true proportion of adult Americans who prefer watching movies at home.

H o : p < .50, where p is the true proportion of adult Americans who prefer watching movies at home.

In a survey of 526 US businesses, 400 indicated that they monitor employee's web site visits. Is there sufficient evidence that more than 70% of US businesses monitor employees' web site visits? State the null hypothesis.

H o : p = .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

H o : p < .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

H o : p > .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

In a survey of 526 US businesses, 400 indicated that they monitor employee's web site visits. Is there sufficient evidence that more than 70% of US businesses monitor employees' web site visits? State the alternative hypothesis.

H a : p > .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

H a : p = .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

H a : p < .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

In a random sample of 1000 adult Americans, 700 indicated that they oppose the reinstatement of a military draft. Is there convincing evidence that the proportion of American adults who oppose the reinstatement of the draft is different from two-thirds? State the null hypothesis.

H o : p = 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

H o : p < 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

H o : p > 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

A state university wants to increase it retention rate of 4% for graduating students from the previous year. After implementing several new programs during the last two years, the university reevaluates it retention rate and comes up with a P-value of 0.075. What is a reasonable conclusion?

We can say there is a 7.5% chance of seeing the new programs having no effect on retention in the results we observed from natural sampling variation. There is no evidence the new programs are more effective, but we cannot conclude that they have no effect on retention.

There is a92.5% chance of the new programs having no effect on retention.

There is a 7.5% chance of the new programs having no effect on retention.

There's only a 7.5% chance of seeing the new programs having no effect on retention in the results we observed from natural sampling variation. We conclude the new programs are more effective.

A company hopes to improve its engines, setting a goal of no more than 3% of customers using their warranty on defective engine parts. A random survey of 1200 customers found only 20 with complaints. Create a 95% confidence interval for the true level of warranty users among all customers.

Based on the data we are 95% confident the proportion of warranty users is between 0.9% and 2.4%. Therefore the company met its goal.

Based on the data we are 95% confident the proportion of warranty users is between 2.0% and 2.4%. Therefore the company has met its goal.

Based on the data we are 95% confident the proportion of warranty users is between 0.9% and 3.8%. therefore, the company has not met its goal.

Based on the data we are 95% confident the proportion of warranty users is between 0% and 2.4%. Therefore, the company has met its goal.

the probability that the null is true given the observed statistic

the probability of the observed statistic given the null hypothesis is true

Hypothesis Testing 1

Quiz

•

Mathematics

•

University

•

Practice Problem

•

Hard

•

CCSS

HSS.IC.B.4, HSS.IC.A.1, HSS.IC.B.5

+4

Standards-aligned

JOEY OLIVEROS

Used 2+ times

FREE Resource

45 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"

H₀: μ > 64"

Hₐ: μ ≠ 64"

H₀: μ < 64"

Hₐ: μ > 64"

H₀: p > 64"

Hₐ: p ≠ 64"

H₀: p = 64"

Hₐ: p > 64"

Tags

CCSS.HSS.IC.B.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

H₀: p = 0.50

H₀: µ = 100

H₀: p = 0.48

H₀: µ = 96

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When performing a test about the population proportion, what distribution would you need to use?

z

t

chi-square

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following shows a right-tailed test?

Ha: µ < 15

H₀: µ < 15

Ha: µ > 15

H₀: µ > 15

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

using a small level of significance

using a large level of significance

obtaining data with a small p-value

obtaining data with a low test statistic

Tags

CCSS.HSS.IC.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the critical value (in a test about proportions) for a left-tailed test with α = 0.05 and n ≥ 30.

z₀ = -1.645

z₀ = -2.33

z₀ = -1.96

z₀ = 2.58

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A P-value indicates:

the probability that the null hypothesis is true

the probability that the alternative hypothesis is true

the probability of obtaining the results (or one more extreme) if the null hypothesis is true

probability of a Type I error

Tags

CCSS.7.RP.A.2D

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Hypothesis Testing 1

45 questions

Which of the following represents the appropriate null & alternative hypotheses?The mean height of women is greater than 64"

Identify the correct null hypothesis:Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

When performing a test about the population proportion, what distribution would you need to use?

Which of the following shows a right-tailed test?

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

What is the critical value (in a test about proportions) for a left-tailed test with α = 0.05 and n ≥ 30.

A P-value indicates:

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

When p-value is greater than alpha we:

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Similar Resources on Wayground

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Discover more resources for Mathematics

Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.