Assume that a simple random sample has been selected and test the given claim. U

Question

Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the nu 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 = 77, x^bar = 36.4 years, and s = 11.6years. Use a 0.01 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? H_0: mu = 32 years H_1: mu notequalto 32 years H_0: mu = 32 years H_1: mu

Explanation / Answer

What are the Hypothesis ?

H0 : = 32 years

Ha : 32 years

Option A is correct.

Test Statistic

t = (xbar - H) / (s/n) = (35.4 - 32)/ (11.6 / 77) = 3.4/ 1.322 = 2.5718

P - value for Table = 0.012069

The result is not significant at p < .01.

We fail to reject null hypothesis and There is insufficent evidence t warrent rejection of the claim that the mean age of actresses when they win an acting award is 32 years.

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