Question

8. Assume that a sample random sample has been selected and test the given claim. Use the​ P-value method for testing hypotheses. Identify the null and alternative​ hypotheses, test​ statistic, 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 nequals76​, xequals35.5 ​years, and sequals11.6 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.

What are the​ hypotheses?

A. H 0​: µ = 34 years

    H 1​: µ ≥34 years

B.H 0​: µ = 34 years

    H 1​: µ < 34 years

C. H 0​: µ ≠ 34 years

    H 1​: µ = 34 years

D. H 0​: µ = 34 years

   H 1​: µ ≠ 34 years

identify the test statistic.

T=____

(Round to three decimal places as​ needed.)

Identify the​ P-value.

The​ P-value is___

(Round to four decimal places as​ needed.)

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

A.Fail to reject Upper H 0. 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 Upper H 0. 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 Upper H 0. 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.Fail to reject Upper H 0. 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.

Answer 1