6. Suppose that the sample unemployment rate for those aged 25–60 is 8% based on a...
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6. Suppose that the sample unemployment rate for thoseaged 25–60 is 8% based on a survey of 150 people, while theunemployment rate for those aged 16–24 is 12% based on a survey of100 people.
(a) Form a 90% confidence interval for the differencebetween the two population unemployment rates.
(b) Construct a test statistic to test the nullhypothesis that the two population rates are the same against thealternative hypothesis that the rate is higher in for those aged16–24, and report the associated P-value.
6. Suppose that the sample unemployment rate for thoseaged 25–60 is 8% based on a survey of 150 people, while theunemployment rate for those aged 16–24 is 12% based on a survey of100 people.
(a) Form a 90% confidence interval for the differencebetween the two population unemployment rates.
(b) Construct a test statistic to test the nullhypothesis that the two population rates are the same against thealternative hypothesis that the rate is higher in for those aged16–24, and report the associated P-value.
Answer & Explanation Solved by verified expert
a)
level of significance, α =  0.10 Â
        Â
Z critical value =  Z α/2 =  Â
1.645Â Â
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