1. (3 points) A market researcher will ask 200 consumers in a community whether

Question

1. (3 points) A market researcher will ask 200 consumers in a community whether a company's stand on social issues would influence their willingness to buy the company's product. Consumers will respond "Yes" or "No". Unknown to the researcher, 40% of all consumers in the community would answer "Yes" a. Find the mean of the proportion of consumers in the sample who will say "Yes" Find the variance of the proportion of consumers in the sample who will say "Yes" . The sampling distribution of the sample proportion is (Circle one) exactly normal /approximately normal /not even approximately normal

Explanation / Answer

HEre sample size = 200

Proportion of people saying "yes" = 0.40

(a) Mean of the prorportion of consumers in the sample who will say "Yes" = 0.40

(b) Variance of proportion of cconsumers in the sample who will say "Yes" = sqrt (0.40 * 0.60 / 200) = 0.0346

(c) Here the sampling distribution of sample proportion is approximately normal.

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