Use the Following Information to Answer the Question

question 19

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.
-To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "blue collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is H0: p = 0.26 and the alternative hypothesis is Ha: p > 0.26. The researcher collected data from a random sample of 90 adults with "blue collar" jobs of which 30 stated that they drank once a week or less in the last month. Assume that the conditions that must be met in order for us to use the N(0, 1) distribution as the sampling distribution are satisfied. Find the values of the sample proportion, p^, the test statistic, and the p- value associated with the test statistic. Round all values to the nearest thousandth.

• A)p^{^} = 0.333, z = 1.586, p- value = 0.056
• B)p^{^} = 0.289, z = - 0.829, p- value = 0.407
• C)p^{^} = 0.667, z = 8.795, p- value = 0.000⁺ D)p^{^} = 0.333, z = 0.067, p- value = 0.946

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Definitions:

Corn Farmers

Agricultural producers who specialize in the cultivation of corn crops.

Long-Run Equilibrium

A situation in economic analysis where all inputs can be adjusted, and firms have no incentive to enter or exit the industry.

Economic Profit

The total revenue minus total costs, including both explicit and implicit costs.

Competitive Market

A market structure characterized by a large number of sellers and buyers, where no single party can dictate prices or market conditions.