from the data in collegescores4yr we know that about 62% of four-year colleges in the US are private institutions. Suppose that we select samples of schools at a time from a population of all four year colleges and find the proportion of private schools in each sample. (n=75)

a) what proportion of these samples will have less than 50% public schools

b) approx. what proportion of confidence intervals constructed at the 90% level will contain the true vale of p=0.62

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