A company intends to hire a consultant to carry out a survey of customers. In particular, the company wishes to estimate the proportion p of customers who are satisfied with their service. It is desired to have the estimate be within .03 at a 95% confidence level. How large a sample is needed when: a. There is no knowledge about the value of p? b. p is known to be about 0.8?

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A company intends to hire a consultant to carry out a survey of customers. In particular, the company wishes to estimate the proportion p of customers who are satisfied with their service.
It is desired to have the estimate be within .03 at a 95% confidence level. How large a sample is needed when:
a. There is no knowledge about the value of p?
b. p is known to be about 0.8? 

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