A college professor reads a newspaper article that claims that \( 57 \% \) of college students are women. The professor thinks that the percentage is actually higher than that. Find the null and alternative hypotheses that would be used to test the professor's claim. \( \begin{array}{ll}\mathrm{H}_{0}: \mu=0.57 & \mathrm{H}_{\mathrm{a}}: \mu \neq 0.57 \\ \mathrm{H}_{0}: p \neq 0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p \neq 0.57 \\ \mathrm{H}_{0}: \mu \neq 0.57 & \mathrm{H}_{\mathrm{a}}: \mu=0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p>0.57 \\ \mathrm{H}_{0}: p>0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: \mu=0.57 & \mathrm{H}_{\mathrm{a}}: \mu>0.57 \\ \mathrm{H}_{0}: \mu<0.57 & \mathrm{H}_{\mathrm{a}}: \mu=0.57\end{array} \)
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