Question: A study was conducted to compare the proportion of smokers under 20 to the proportion of middle age smokers. A sample of 200 people under 20 had 56 smokers. A sample of 175 middle age smokers showed 55 smokers. Is there a difference in the proportion of under 20 and middle age people who smoke? Use the confidence interval approach to test the claim. Find the 95% confidence interval for the difference of the two proportions. State the hypotheses and identify the claim. Find the critical value(s), compute the test value, make the decision and summarize the results.