Suppose that the sample unemployment rate for those aged 25–60is 8% based on a survey of 150 people, while the unemployment ratefor those aged 16–24 is 12% based on a survey of 100 people.
(a) Form a 90% confidence interval for the difference betweenthe two population unemployment rates.
(b) Construct a test statistic to test the null hypothesis thatthe two population rates are the same against the alternativehypothesis that the rate is higher in for those aged 16–24, andreport the associated P-value.