A marketing research firm for a company that manufactures water purifiers surveys 200 customers and finds that

Question:

A marketing research firm for a company that manufactures water purifiers surveys 200 customers and finds that the proportion of clients who are willing to renew their service contracts by the end of the service period is 0.45.

a) What is the standard deviation of the sampling distribution of the proportion?

b) If it is desired to reduce the standard deviation by half, what sample size should be used?

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