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When interviewing women teachers in Georgia, I plan to ask this following question: "Have you experienced sexual discrimination as a teacher in Georgia?" Research in other states suggest that about \(75 \%\) of women teachers claim to have experienced some form of sexual discrimination in the workplace. For this study, set your confidence level of \(95 \%\). Also, there are about 15,000 women teachers in Georgia. (Suppose we did not know that \(75 \%\) will likely claim discrimination, what size sample would then be needed?)
in Data Science & Statistics by Diamond (89,328 points) | 4 views

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Responses can take form of yes/no, so sample size for proportions can be used. We know from previous research to expect about \(75 \%\) to experience sexual discrimination, and alpha \(=.05\) with a population of about 15000 women teachers. Below are sample sizes needed for this study. (Note sample sizes needed in parentheses if the we did not know that \(75 \%\) are expected to claim discrimination.)
\[
\begin{gathered}
\text { Alpha }=.05 \\
\pm=1 \%, \mathrm{n}=4867(5856) \\
\pm=2 \%, \mathrm{n}=1608(2070) \\
\pm=3 \%, \mathrm{n}=760(997) \\
\pm=4 \%, \mathrm{n}=438(578) \\
\pm=5 \%, \mathrm{n}=283(375)
\end{gathered}
\]
by Diamond (89,328 points)

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