The National Council of Small Businesses is interested in the proportion of small businesses that declared bankruptcy last year. Since there are so many small businesses, the National Council intends to estimate the proportion from a random sample. Let p be the proportion of small businesses that declared bankruptcy last year.

(a) If no preliminary sample is taken to estimate p, how large a sample is necessary to be 95% sure that a point estimate will be within a distance of 0.08 from p?
(b) In a preliminary random sample of 30 small businesses, it was found that six had declared bankruptcy. How many more small businesses should be included in the sample to be 95% sure that a point estimate will be within a distance of 0.100 from p?

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b Given a005 Z00251... View the full answer