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=35.5 ​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 32
years.
What are the​ hypotheses?
A. Upper H 0H0​: μ=32 years Upper H 1H1​:μ<32 years
B. Upper H 0H0​:μ=32 years Upper H 1H1​: μ≥3232 years
C. Upper H 0H0​: μ≠32 years Upper H 1H1​:μ=32 years
D.Upper H 0H0​: μ=32 years Upper H 1H1​: μ≠32 years
Identify the test statistic.
t=
Identify the​ P-value.
The​ P-value is
State the final conclusion that addresses the original claim.
Choose the correct answer below.
A. Fail to reject Upper H 0H0. 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.
B. Fail to reject Upper H 0H0. 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.
C. Reject Upper H 0H0. 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.Reject Upper H 0H0. 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
