CAIE S2 2005 June — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2005
SessionJune
TopicHypothesis test of a normal distribution

3 A survey of a random sample of \(n\) people found that 61 of them read The Reporter newspaper. A symmetric confidence interval for the true population proportion, \(p\), who read The Reporter is \(0.1993 < p < 0.2887\).
  1. Find the mid-point of this confidence interval and use this to find the value of \(n\).
  2. Find the confidence level of this confidence interval.