Question

Suppose the university wants to determine what proportion of students prefer online tests to in-class tests....

Suppose the university wants to determine what proportion of students prefer online tests to in-class tests. The university invites the students to participate in a survey and out of 130 students that responded 39 prefer online testing.
(a) Find the 90% confidence interval for the true proportion of students that prefer online testing.
(b) What is the minimum number of students that should answer the survey in order to know with at least 98% certainty that the true proportion of students that prefer online testing lies within 2% of the estimate given by the survey results?

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