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8.3 A recent broadcast of a television show had a 15 ​share, meaning that among 5000...

8.3

A recent broadcast of a television show had a 15 ​share, meaning that among 5000 monitored households with TV sets in​ use, 15% of them were tuned to this program. Use a 0.01 significance level to test the claim of an advertiser that among the households with TV sets in​ use, less than 25​% were tuned into the program. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

a. What is the hypothesis test to be​ conducted?

b. What is the test​ statistic?

z = ___

c. What is the​ P-value?

d. What is the conclusion about the null​ hypothesis?

e. What is the final​ conclusion?

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