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%.

• 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

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

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

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

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

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

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

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

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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

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.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

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.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4