AQA S3 2009 June — Question 3

Exam BoardAQA
ModuleS3 (Statistics 3)
Year2009
SessionJune
TopicCentral limit theorem
TypeSample size determination

3 The proportion, \(p\), of an island's population with blood type \(\mathrm { A } \mathrm { Rh } ^ { + }\)is believed to be approximately 0.35 . A medical organisation, requiring a more accurate estimate, specifies that a \(98 \%\) confidence interval for \(p\) should have a width of at most 0.1 . Calculate, to the nearest 10, an estimate of the minimum sample size necessary in order to achieve the organisation's requirement.