For this problem, carry at least four digits after the decimalin your calculations. Answers may vary slightly due to rounding.The National Council of Small Businesses is interested in theproportion of small businesses that declared Chapter 11 bankruptcylast year. Since there are so many small businesses, the NationalCouncil intends to estimate the proportion from a random sample.Let p be the proportion of small businesses that declared Chapter11 bankruptcy last year. (a) If no preliminary sample is taken toestimate p, how large a sample is necessary to be 98% sure that apoint estimate p̂ will be within a distance of 0.10 from p? (Roundyour answer up to the nearest whole number.) small businesses (b)In a preliminary random sample of 30 small businesses, it was foundthat ten had declared Chapter 11 bankruptcy. How many more smallbusinesses should be included in the sample to be 98% sure that apoint estimate p̂ will be within a distance of 0.100 from p? (Roundyour answer up to the nearest whole number.) more smallbusinesses
