In a national study of American high school students in 2006, researchers asked students whether they have cheated on a test in the past year.
-State the appropriate null and alternative hypotheses for testing whether the proportion of male students who admit to cheating is higher than that of female students.
Researchers found that $61.8 \%$ of the male students admitted to cheating, compared to $58.3 \%$ of female students.

Question

Quizplus · Accepted Answer

The Answer is The null hypothesis is that the proportion of all male American high school students who admit to cheating is the same as the proportion of all female American high school students who admit to cheating. In symbols,

\mathrm{H}_{0}: \pi_\mathrm{m}=\pi_\mathrm{f}

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The alternative hypothesis is that the proportion of all male American high school students who admit to cheating is greater than the proportion of all female American high school students who admit to cheating. In symbols,

\mathrm{H}_{\mathrm{a}}: \pi_\mathrm{m} > \pi_\mathrm{f}

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In a National Study of American High School Students in 2006