A researcher is wondering whether the smoking habits of young adults (18-25 year

Question

A researcher is wondering whether the smoking habits of young adults (18-25 years of age) in a certain city in the U.S. are different from the proportion of the general population of young adults in the U.S. A recent study stated that the proportion of young adults who reported smoking at least twice a week or more in the last month was 0.16. The researcher collected data from a random sample of 75 adults in the city of interest. Check that the conditions hold so that the sampling distribution of the z-statistic will approximately follow the standard normal distribution. Are the conditions satisfied? If not, choose the condition that is not satisfied.

Select one:

a. No, the population of interest is not large enough to assume independence.

b. Yes, all the conditions are satisfied.

c. No, the researcher did not collect a random sample.

d. No, the researcher did not collect a large enough sample.

Explanation / Answer

Assumptions of normal distribution:

All the above conditions are satisfied in the study conducted by the researcher.

Hence, option-B is the correct answer

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