In: Statistics and Probability
a) A university planner wants to determine the proportion of spring semester students who will attend summer school. She surveys 40 current students discovering that 15 will return for summer school.At 90% confidence, compute the margin of error for the estimation of this proportion.
b) A university planner wants to determine the proportion of spring semester students who will attend summer school. She surveys 36 current students discovering that 16 will return for summer school.At 90% confidence, compute the lower bound of the interval estimate for this proportion.
c) A university planner wants to determine the proportion of spring semester students who will attend summer school. Suppose the university would like a 0.90 probability that the sample proportion is within 0.101 or less of the population proportion.What is the smallest sample size to meet the required precision? (There is no estimation for the sample proportion.) (Enter an integer number.)