CAIE S2 2021 November — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2021
SessionNovember
TopicHypothesis test of a normal distribution

3 A random sample of 75 students at a large college was selected for a survey. 15 of these students said that they owned a car. From this result an approximate \(\alpha \%\) confidence interval for the proportion of all students at the college who own a car was calculated. The width of this interval was found to be 0.162 . Calculate the value of \(\alpha\) correct to 2 significant figures.