Question: Suppose a researcher wants to investigate whether the proportion of smokers within different age groups is the same. He divides the American population into four age groups. Within each age group, he surveys 80 individuals and asks, "Have you smoked at least one cigarette in the past week?" Test at the .01 level. State the hypothesis and identify the claim, find the critical value(s), compute the test value, make the decision, summarize the results. The results of the survey are as follows:

Age

18-29 30-49 50-64 65 or older

Smoked at least one cigarette in the past week 24 21 21 12

Did not smoke at least one cigarette in past week 56 59 57 68