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Ms. Maria Wilson is considering running for mayor of the town of Bear Gulch, Mon

ID: 2959074 • Letter: M

Question

Ms. Maria Wilson is considering running for mayor of the town of Bear Gulch, Montana. Before completing the petitions she decides to conduct a survey of voters in Bear Gulch. A sample of 400 voters reveals that 300 would support her in the November election.

a. Estimate the value of the population proportion.
b. Develop a 99% confidence interval for the population proportion.
c. Interpret your findings.

Explanation / Answer

A) p = 300/400 = 0.75 B) (0.75 - 2.58*0.0217, 0.75 + 2.58*0.0217) => (0.694, 0.806) C) We are 99% confident that the true value of the proportion of individuals who would support her in the November election lies in the above interval.