Assume that a simple 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 n=79, x=35.4 years, and s=11.4 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 32 years.
Assume that a simple 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 n=79, x=35.4 years, and s=11.4 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 32 years.
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Part 1
What are the hypotheses?
A.
H0: μ=32 years
H1: μ≥32 years
B.
H0: μ≠32 years
H1: μ=32 years
C.
H0: μ=32 years
H1: μ<32 years
D.
H0: μ=32 years
H1: μ≠32 years
Part 2
Identify the test statistic.
t=enter your response here (Round to three decimal places as needed.)
Part 3
Identify the P-value.
The P-value is enter your response here. (Round to four decimal places as needed.)
Part 4
State the final conclusion that addresses the original claim. Choose the correct answer below.
A.
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 32 years.
B.
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 32 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 32 years.
D.
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 32 years.
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