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

A manufacturer claims that his tires last at least 40,000 miles. A test on 25 tires reveals that the mean life of a tire is 39,750 miles, with a standard deviation of 387 miles. Test the Manufacturer’s claim at α = .01.

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is enough evidence to support the claim

There is not enough evidence to support the claim

A one sample t-test is conducted on Ho : μ = 81.6. The sample has a sample mean = 84.1 , s = 3.1, n = 25, and α = .01.

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is enough evidence to support the claim

There is not enough evidence to support the claim

In performing a hypothesis test where the null hypothesis is that the μ = 6.9. A random sample of 16 items is selected. The sample mean is 7.1 and the sample standard deviation is 2.4. It can be assumed that the population is normally distributed at α = .05.

There is not enough evidence to reject the claim

There is enough evidence to reject the claim

There is enough evidence to support the claim

There is not enough evidence to support the claim

A fast food outlet claims that the mean waiting time in line is less than 1.9 minutes. A random sample of 20 customers has a mean of 1.7 minutes with a standard deviation of 0.8 minute. If α = 0.05, test the fast food outlet's claim using P-values.

There is not enough evidence to support the claim

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is enough evidence to support the claim

A fast food outlet claims that the mean waiting time in line is less than 3.5 minutes. A random sample of 20 customers has a mean of 3.7 minutes with a standard deviation of 0.8 minute. If α = 0.05, test the fast food outlet's claim.

There is not enough evidence to support the claim

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is enough evidence to support the claim

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.

In a recent survey, the average amount of money students have in their pockets is $5.40 with a standard deviation of $1.20. A teacher feels that the average amount is actually higher. She surveys 80 randomly selected students and finds the average amount is $5.50. At α = 0.05, test the teacher’s claim that the average amount of money is actually higher than $5.40.

There is not enough evidence to support the claim

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is enough evidence to support the claim

A sample of 35 cans of Campbell’s Tomato Soup found that the net weight of the cans was 298 grams with a standard deviation of 24 grams. The production line supervisor has been told that the net weight of all cans is 308 grams. Is there enough evidence, at the 5% level, to say that the weight of the cans is something other than 308 grams?

There is enough evidence to support the claim

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is not enough evidence to support the claim

A manufacturer claims that his tires last at least 40,000 miles. A test on 25 tires reveals that the mean life of a tire is 39,750 miles, with a standard deviation of 387 miles. Test the Manufacturer’s claim at α = .01.

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is enough evidence to support the claim

There is not enough evidence to support the claim

The average miles on a tank of gas for the Ford Explorer is 300 miles with a standard deviation of 22 miles. A consumer group feels the average is actually lower. They survey 40 vehicles and find the average miles per tank is 290 miles. At α = 0.05, test the consumer groups’ claim that the miles per tank is actually lower than 300 miles.

There is enough evidence to support the claim

There is enough evidence to reject the claim

There is not enough evidence to reject the claim

There is not enough evidence to support the claim

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.

A state university wants to increase its retention rate of 4% for graduating students from the previous year. After implementing several new programs during the last two years, the university reevaluated its retention rate using a random sample of 352 students and found the retention rate at 5%. Test the appropriate hypothesis and state your conclusion. Be sure to check assumptions and conditions.

Ho: p = .04; Ha: p> .04; z = 0.96; P-value = 0.1685. This data does not show that more than 4% of students are retained; they should not continue with the new programs.

Ho: p = .04; Ha: p<.04; z = -1.07; P-value =0.8577. This data shows that more than 4% of the students are retained; the university should continue with the new programs.

Ho: p = .04; Ha: p ≠ .04; z = 1.07; P-value = 0.2846; This data does not show that more than 4% of students are retained; the university should not continue with the new programs.

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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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%.