For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. The National Council of Small Businesses is interested in the proportion...

(a) If no preliminary sample is taken to estimate
p, how large a sample is necessary to be 98% sure that a point estimate p̂ will be within a distance of 0.09 from
p? (Round your answer up to the nearest whole number.)
small businesses


(b) In a preliminary random sample of 30 small businesses, it was found that fourteen had declared Chapter 11 bankruptcy. How many
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small businesses should be included in the sample to be 98% sure that a point estimate p̂ will be within a distance of 0.090 from
p? (Round your answer up to the nearest whole number.)
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