Use the Following Information to Answer the Question

question 21

Multiple Choice

Use the following information to answer the question. A researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once a week or less in the last month was 0.26. The researcher's null hypothesis for this test is H₀: p = 0.26 and the alternative hypothesis is H_a: p > 0.26. The researcher collected data from a random sample of 75 adults in the region 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.

• A)No, the researcher did not collect a large enough sample.
• B)No, the researcher did not collect a random sample.
• C)Yes, all the conditions are satisfied.
• D)No, the population of interest is not large enough to assume independence.