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 450 viewers. After viewing the comedy, 150 indicated they would watch the new show and suggested it replace the crime investigation show. a. Estimate the value of the population proportion. (Round your answer to 3 decimal places.) Population proportion .333 b. Develop a 90% confidence interval for the population proportion. (Use z Distribution Table.) (Round your answers to 3 decimal places.)

Explanation / Answer

phat=x/n=150/450=0.33 so q=0.67

Now z value for 90% is 1.645

So margin of error =z*sqrt((p*q)/n)=1.645*sqrt((0.33*0.67)/450)=0.036

So CI=phat+/-margin of error=0.33+/-0.036=[0.294,0.366]

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