To determine if market research study participants are representative of the target market (adults under the age of 28), the company records the age of each of the 25 participants. From the data, the company determines that 16 of the participants are less than 28, 7 of the participants are older than 28, and 2 are exactly 28. Use a = 0.05 for this question. a) To verify the participants are representative of the target market use the data to test the hypothesis: Ho: Median Age ≥ 28 versus Ha: Median Age < 28 Answer must include a sketch of the sampling distribution. The sketch must include the critical value(s), the sample statistic, and the test statistic (along with calculations) for full credit. State your conclusion for the hypothesis test in the context of evaluating the age of the market research participants. b. Calculate the p-value for the hypothesis test. c. The company also records if each market research participant is a prior customer of the company. To determine if there is a difference in median age between prior customers and those who have not previously been customers, test the hypothesis: Ho: Median Age Prior Customers = Median Age Not Previous Customers versus Ha: Median Age Prior Customers ‡ Median Age Not Previous Customers Answer must include a sketch of the sampling distribution. The sketch must include the critical value(s), the sample statistic, and the test statistic (along with calculations) for full credit. State your conclusion for the hypothesis test in the context of comparing the age of prior customers and noncustomers
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To determine if market research study participants are representative of
the target market (adults under the age of 28), the company records the age of each of the
25 participants. From the data, the company determines that 16 of the participants are less
than 28, 7 of the participants are older than 28, and 2 are exactly 28. Use a = 0.05 for this
question.
a) To verify the participants are representative of the target market use the data
to test the hypothesis:
Ho:
Answer must include a sketch of the sampling distribution. The
sketch must include the critical value(s), the sample statistic, and the test statistic (along
with calculations) for full credit. State your conclusion for the hypothesis test in the
context of evaluating the age of the market research participants.
b. Calculate the p-value for the hypothesis test.
c. The company also records if each market research participant is a prior
customer of the company. To determine if there is a difference in median age between
prior customers and those who have not previously been customers, test the hypothesis:
Ho: Median Age Prior Customers = Median Age Not Previous Customers versus
Ha: Median Age Prior Customers ‡ Median Age Not Previous Customers
Answer must include a sketch of the sampling distribution. The
sketch must include the critical value(s), the sample statistic, and the test statistic (along
with calculations) for full credit. State your conclusion for the hypothesis test in the
context of comparing the age of prior customers and noncustomers.
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