Question

1. According to an article in The New York Times (5/12/2014), 19.3% of New York City adults smoked in 2013. You believe that fewer adults smoke now than they did ten years ago. Suppose you conduct a survey to determine this year’s rate. You randomly sample 70 New York City residents and discover that only 12 people in this group smoke. Do you have enough evidence to suggest that the percentage of smokers in New York City (as a whole—the population) is now less than 19.3%?

For each of the following problems:

1. state the research and null hypotheses    
2. compute either the z- or t-statistic
3. decide whether to use a one-tailed or two-tailed test
4. determine the p-value for the hypothesis test
5. decide whether there is evidence to reject the null hypothesis (use a=0.05)

Answer 1

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