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 = 84, x = 35.7 years, and s = 11.2 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 34 years.

1.What are thehypotheses?

A. H0: 34 years

H1: = 34 years

B. H0: = 34 years

H1: 34 years

C. H0: = 34 years

H1: 34 years

D. H0: = 34 years

H1: < 34 years

2. Identify the test statistic

t =___

(Round to three decimal places asneeded.)

3. Identify theP-value.

TheP-value =___

(Round to four decimal places asneeded.)

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

A. Fail to 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 34 years.

B. 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 34 years.

C. 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 34 years.

D. Failtoreject H0. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 34 years.