Quiz about Hypothesis Testing 1

Question 1

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

Accepted Answer

z

Answer

t

Answer

chi-square

Question 2

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

Accepted Answer

obtaining data with a small p-value

Answer

using a small level of significance

Answer

using a large level of significance

Answer

obtaining data with a low test statistic

Question 3

A P-value indicates:

Accepted Answer

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

Answer

the probability that the null hypothesis is true

Answer

the probability that the alternative hypothesis is true

Answer

probability of a Type I error

Question 4

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

Accepted Answer

a) Reject the null hypothesis

Answer

b) Reject the alternative hypothesis

Answer

c) Fail to reject the null hypothesis

Answer

d) Fail to reject the alternative hypothesis

Question 5

When p-value is greater than alpha we:

Accepted Answer

Fail to reject Ho

Answer

<p>Reject Ho</p>

Answer

Fail to reject Ha

Answer

<p>Reject Ha</p>

Question 6

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.

Accepted Answer

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

Answer

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

Answer

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

Question 7

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.

Accepted Answer

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

Answer

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

Answer

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

Question 8

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.

Accepted Answer

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

Answer

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

Answer

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

Question 9

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.

Accepted Answer

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

Answer

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

Answer

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

Question 10

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.

Accepted Answer

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

Answer

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

Answer

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

Question 11

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.

Accepted Answer

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

Answer

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

Answer

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

Question 12

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.

Accepted Answer

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

Answer

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

Answer

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

Question 13

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.

Accepted Answer

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

Answer

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

Answer

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

Question 14

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.

Accepted Answer

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

Answer

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

Answer

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

Question 15

A mayor is concerned about the percentage of city residents who express disapproval of his job performance.  His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%.  They will use a follow up poll to access effectiveness.  What are the correct null and alternative hypotheses?

Accepted Answer

Ho: p= .21
Ha: p< .21

Answer

Ho: p=.21
Ha: p > .21

Answer

Ho: p< .21
Ha: p= .21

Answer

Ho: p> .21
Ha: p= .21

Question 16

5% of trucks of a certain model have needed new engines after being driven between 0 and 100 miles.  The manufacturer hopes that the redesign of one of the engine's components has solved this problem.  Write the null and alternative hypotheses for this situation.

Accepted Answer

Ho: p = 0.05
Ha: p < 0.05

Answer

Ho: p< 0.05
Ha: p = 0.05

Answer

Ho: p = 0.05
Ha: p > 0.05

Answer

Ho: p > 0.05
Ha: p = 0.05

Question 17

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?

Accepted Answer

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.

Answer

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

Answer

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

Answer

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.

Question 18

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.

Accepted Answer

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.

Answer

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.

Answer

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.

Answer

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.

Question 19

A P-value indicates:

Accepted Answer

the probability that the null is true given the observed statistic

Answer

the probability that the null hypothesis is true

Answer

the probability that the alternative hypothesis is true

Answer

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

Hypothesis Testing 1

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics