|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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