Question

Q5. A politician is considering running for mayor so need to conduct a survey to estimate the level of his support. Let the maximum error as 5%, with 97% level of confidence, how many people should he samples if he has no idea about his present support?

Answer #1

The following information has been provided:

α=0.03, E=0.05

Since no estimate of the population proportion p is provided, we use the estimate p = 0.5 (which corresponds to the worst case scenario).

The critical value for the significance level α=0.03 is zc=2.17. The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:

Therefore, the sample size needed to satisfy the condition n≥470.93, and it must be an integer number, we conclude that the minimum required sample size is

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