Question
A radio station would like to estimate the proportion of listeners who heard and remembered a...
A radio station would like to estimate the proportion of listeners who heard and remembered a specific advertisement. How large a sample of listeners would the radio station need to take to estimate this proportion to within a margin of error of 0.08 (E = 0.08) using a 95% Confidence Level. The radio station has no guess of what the true proportion (p) actually is? n = [A]
Homework Answers
Answer #1
The following information has been provided:
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=0.05 is zc=1.96. 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
, and it must be an integer number, we conclude that the minimum
required sample size is
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