The YMCA Survey

A researcher is proposing a survey for an area YMCA that is contemplating adding a preschool activity center. If the preschool center is built, all 4,000 members would see a 5% increase in member fees. The purpose of the survey would be to measure member attitudes toward the preschool center. There is one question on the survey that the YMCA researcher feels is most important to the research objective:

If a preschool activity center was built at the YMCA, how frequently would you use it?

Not at all									All the time
1	2	3	4	5	6	7	8	9	10

The researcher is considering what sampling method and what sample size to use. Answer the following questions:

Situation # 1:

The researcher would put a stack of questionnaires on the counter where members check in. There would be a sign above the questionnaires to encourage members to take and fill one out. The incentive would be a chance to win a $100 restaurant gift certificate. Answer the following questions.

A. What is the specific sample method being contemplated in Situation #1?

B. Assess the representativeness and whether Situation #1's sampling method is a good choice for this marketing research.

Situation # 2:

Using a city map, the researcher would divide the YMCA's service area into ten homogeneous neighborhoods. One of the neighborhoods would be picked at random and all households in that area would be sent the questionnaire by mail. A self-addressed, stamped envelope would be included to return the questionnaire.

A. What is the specific sample method being contemplated in Situation #2?

B. Assess the representativeness and whether Situation #2's sampling method is a good choice for this marketing research.

Situation # 3:

Using the member directory, the researcher would randomly pick a starting point on the directory then email a questionnaire to every 10^th member's email address.

A. What is the specific sample method being contemplated in Situation #3?

B. Assess the representativeness and whether Situation #3's sampling method is a good choice for this marketing research.

Situation # 4:

The researcher conducted a pilot test with twenty YMCA members. The standard deviation for the most important question was 2.21. If the manager wants a +/- .20 error and a 95% confidence level, what sample size should be used for the full data collection of this survey? Show your work of how you calculated the sample size.