What is the minimal sample size needed for a 95% confidenceinterval to have a maximal margin of error of 0.1 in the followingscenarios? (Round your answers up the nearest whole number.)
(a) a preliminary estimate for p is 0.31
(b) there is no preliminary estimate for p
For this problem, carry at least four digits after the decimalin your calculations. Answers may vary slightly due torounding.
A random sample of medical files is used to estimate theproportion p of all people who have blood type B.
If you have no preliminary estimate for p, how manymedical files should you include in a random sample in order to be85% sure that the point estimate p̂ will be within adistance of 0.06 from p? (Round your answer up to thenearest whole number.)
____________medical files
Answer part (a) if you use the preliminary estimate that about12 out of 90 people have blood type B.
_____________medical files