We conclude "Fail to reject H 0 ". What could we use as our interpretation?

There is not enough evidence to say that the proportion of babies born male is different from 0.50.

The proportion of babies born male is not 0.50.

There is not enough evidence to say that the proportion of babies born male is 0.50.

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 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 alternative hypothesis.

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

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

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

H a : 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 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.

Which of the following is the FIRST step of a hypothesis test?

State your null & alternative hypotheses

A nationwide survey of 1500 adults asked about attitudes toward “alternative medicine” such as acupuncture, massage therapy, etc. Among the 1500 respondents, 660 said they would use alternative medicine if traditional medicine was not producing the results they wanted. Do these data provide enough evidence to suggest that less than half of all adults would use alternative medicine if traditional medicine didn’t produce their desired results? Use a 5% level of significance. Which is the correct conclusion for this test?

Snice p-value = 0.001 < 0.05, I reject H0. There is enough evidence to suggest that the proportion is less than half.

Snice p-value = 0.001 > 0.05, I reject H0. There is enough evidence to suggest that the proportion is less than half.

Snice p-value = 0.001 < 0.05, I fail to reject H0. There is enough evidence to suggest that the proportion is less than half.

Snice p-value = 0.001 < 0.05, I fail to reject H0. There is not enough evidence to suggest that the proportion is less than half.

Ch. 8 CPA Stats--Hyp Test for Proportions

Authored by Ashley Smith

Mathematics

11th Grade - University

CCSS covered

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Ch. 8 CPA Stats--Hyp Test for Proportions

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25 questions

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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

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

MULTIPLE CHOICE QUESTION

1 min • 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

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

a) Reject the null hypothesis

b) Reject the alternative hypothesis

c) Fail to reject the null hypothesis

d) Fail to reject the alternative hypothesis

Tags

CCSS.HSS.IC.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When p-value is greater than alpha we:

Reject Ho

Fail to reject Ha

Fail to reject Ho

Reject Ha

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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?

Ho: μ = 21

Ha: μ < 21

Ho: p = .20

Ha: p < .20

Ho: p < .21

Ha: p = .21

Ho: p = .21

Ha: p < .21

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the correct null hypothesis:

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

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Ch. 8 CPA Stats--Hyp Test for Proportions

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%.

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

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:

Identify the correct null hypothesis:

We conclude "Fail to reject H0". What could we use as our interpretation?

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.

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.

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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%.

We conclude "Fail to reject H₀". What could we use as our interpretation?