Suppose that 50% of the subscribers of a cable television company watch the shop

Question

Suppose that 50% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local station. A survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if the sample proportion is greater than .57. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only .50? (Round the answer to four decimal places.) P(p > .57) = You may need to use the appropriate table in Appendix A to answer this question.

Explanation / Answer

z= (.58-.50)/.5*.5/100= .08/.05- 1.6

Probability of a z score >1.6 (from normal table) is 0.0548

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