Use the Following Information to Answer Questions (10)- (12)

question 16

Multiple Choice

Use the following information to answer questions (10) - (12) . 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 the same as 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.
- [Objective: Test a hypothesis for a population proportion] A researcher completes a hypothesis test with a
resulting p-value = 0.076. Choose the best statement to interpret the results

• A) The p-value for a two-sided test is divided by 2 resulting in a value less than a standard cutoff value of supporting the hypothesis that the city of interest has a different proportion of smokers than the general public.
• B) The standard cutoff value of is multiplied by two for a two-sided test and the resulting value of 0.10 is greater than the p-value. Therefore there is no evidence to support that the city of interest has a different proportion of smokers than the general public.
• C) The p-value is above a standard cutoff value of and therefore there is insufficient evidence to support that the city of interest has a different proportion of smokers than the general public.
• D) The p-value is above a standard cutoff value of and therefore there is sufficient evidence to support that the city of interest has a different proportion of smokers than the general public.