The Fox TV network is considering replacing one of its prime-time crime investig

Question

The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 500 viewers. After viewing the comedy, 250 indicated they would watch the new show and suggested it replace the crime investigation show.

a. Estimate the value of the population proportion. (Round the z-values to 2 decimal places. Round your answer to 3 decimal places.)   Population proportion ___________

b. Develop a 90% confidence interval for the population proportion. (Use z Distribution Table.) (Round the z-values to 2 decimal places. Round your answers to 3 decimal places.)   Confidence interval _____________and_________________ .

Explanation / Answer

a. The estimate of value of population proportion is given by :

The population proportion, p^ = x/n = 250/500 = 1/2 = .5

b. The 90% Confidence is given by the following formula, please note that for 90% confidence Z value is 1.645, rounded off 2 places to 1.65

So, p^ +/- Z*Sqrt(p^*p^'/n)

= .5 +/- 1.65*sqrt(.5*.5/500)

= .463 to .537

Confidence interval 0.463 and 0.537

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