A survey of 611 office workers investigated telephone answering practices, inclu

Question

A survey of 611 office workers investigated telephone answering practices, including how often each office worker was able to answer incoming telephone calls and how often incoming telephone calls went directly to voice mail. A total of 281 office workers indicated that they never need voice mail and are able to take every telephone call.

a.) What is the point estimate of the proportion of the population of office workers who are able to take every telephone call?

b.) At 90% confidence, what is the margin of error?

c.) What is the 90% confidence interval for the proportion of the population of office workers who are able to take every telephone call?

Explanation / Answer

A survey of 611 office workers investigated telephone answering practices, including how often each office worker was able to answer incoming telephone calls and how often incoming telephone calls went directly to voice mail (USA Today, April 21, 2002). A total of 281 office workers indicated that they never need voice mail and are able to take every telephone call. Here A survey of 611 office workers investigated telephone answering practice That is n = 611 281 office workers indicated that they never need voice mail and are able to take every telephone call. That is x= 281 proportion of the population of office workers who are able to take every telephone call That is p=x/n =281/611 =0.46 point estimate of the proportion of the population of office workers p(hat) =p =0.46

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