In a poll, 69% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 3%, and the estimate was made with 95% confidence. At least how many people were surveyed?
Added by Roberto G.
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The larger the sample size, the smaller the margin of error. The formula to calculate the sample size in a poll is: n = (Z^2 * p * (1-p)) / E^2 where: - n is the sample size - Z is the Z-score (which corresponds to the desired confidence level, in this case Show more…
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In a poll, 69% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 3%, and the estimate was made with 96% confidence. At least how many people were surveyed?
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In a poll, 37% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 3%, and the estimate was made with 95% confidence. At least how many people were surveyed?
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Opinions about the death penalty The General Social Survey asked a random sample of adults, “Do you favor or oppose the death penalty for persons convicted of murder?” The following table gives the responses of people whose highest education was a high school degree and of people with a bachelor’s degree: $\begin{array}{lll}{\text { High school }} & {1010} & {369} \\ {\text { Bachelor's }} & {319} & {185} \\ \hline\end{array}$ We can test the hypothesis of “no difference” in support for the death penalty among people in these educational categories in two ways: with a two-sample z test or with a chi-square test. (a) Minitab output for a chi-square test is shown below. State appropriate hypotheses and interpret the P-value in context. What conclusion would you draw? (b) Minitab output for a two-sample z test is shown below. Explain how these results are consistent with the test in part (a).
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