A college profersor reads a newspaper article that claims that \( 57 \% \) of college students are women. The profersor wonders if that's true. Find the null and alternative hypotheses that would be used to test the statement in the newspaper article. \( \begin{array}{ll}\mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p \geq 0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p \leq 0.57 \\ \mathrm{H}_{0}: p \neq 0.57 & \mathrm{H}_{\mathrm{a}}: p>0.57 \\ \mathrm{H}_{0}: p>0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p \neq 0.57 \\ \mathrm{H}_{0}: p \neq 0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: p<0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p>0.57\end{array} \)
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