Assume that a simple random sample has been selected and test the given claim. Use theP-value method for testing hypotheses. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

The ages of actresses when they won an acting award is summarized by the statistics n=80, x=35.8 years, and s=11.6 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years.

What are thehypotheses?

A.

H0: 33 years

H1: =33 years

B.

H0:=33 years

H1: 33 years

C.

H0 =33 years

H1: 33years

D.

H0:=33 years

H1: <33 years

Identify the test statistic.

t=_

Identify theP-value.

TheP-value is

State the final conclusion that addresses the original claim. Choose the correct answer below.

A.

Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.

B.

Reject H0. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.

C.

Reject H0. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.

D.

Failtoreject Upper H0. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.

Assume that the significance level is alpha equals 0.01

=0.01. Use the given information to find theP-value and the criticalvalue(s).

The test statistic of z=1.35 is obtained when testing the claim that p>0.6. P-value=__ The criticalvalue(s) is/are z=__

Assume a significance level of alpha equals =0.05 and use the given information to complete parts(a) and(b) below.

Originalclaim: The proportion of male golfers is more than 0.7. The hypothesis test results in aP-value of 0.087

a. State a conclusion about the null hypothesis.(Reject Upper H 0 or fail to reject Upper H 0

Choose the correct answer below.

A.

Reject H0 because theP-value is greater than alpha

.B.

Fail to reject H0 because theP-value is less than alpha

C.

Reject H0 because theP-value is less than alpha

.D.

Fail to reject H0 because theP-value is greater than alpha

b. Without using technicalterms, state a final conclusion that addresses the original claim. Which of the following is the correctconclusion?

A.

There is sufficient evidence to reject the claim that the proportion of male golfers is more than 0.7

B.

There is sufficient evidence to support the claim that the proportion of male golfers is more than 0.7

C.

There isnot sufficient evidence to support the claim that the proportion of male golfers is more than 0.7

D.

There isnot sufficient evidence to reject the claim that the proportion of male golfers ismore than 0.7