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# Testing of Hypothesis and Confidence Interval

Use the traditional method to test the given hypothesis. Assume that the samples are independent and that they have been randomly selected
11) In a random sample of 500 people aged 20 24, 22% were smokers. In a random sample of 450 people aged 25 29, 14% were smokers. Test the claim that the proportion of smokers inthe two age groups is the same. Use a significance level of 0.01.

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent and that they have been randomly selected.
12) Independent samples from two different populations yield the following data. x1 = 383, x2=448, s1= 44, s2= 18. The sample size is 177 for both samples. Find the 85 percent confidence interval for &#956;1- &#956;2.

#### Solution Summary

The solution contains the construction of 85% confidence interval for difference between the two population means using given information and testing of hypothesis problem concerning the equality of two population proportion.

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