a)A university planner wants to determine the proportion ofspring semester students who will attend summer school. Suppose theuniversity would like a 0.90 probability that the sample proportionis within 0.281 or less of the population proportion.What is thesmallest sample size to meet the required precision? (There isno estimation for the sampleproportion.)Â Â (Enter an integer number.)
b)A university planner wants to determine the proportion of fallsemester students who will attend summer school. She surveys 30current students discovering that 20 will return for summerschool.At 90% confidence, compute the margin of error for theestimation of this proportion.
c)For the t distribution with 14 degrees of freedom, calculateP(T < 2.624)!