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Timed Test For
Two sample tests for proportions
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Sample Problem
Researchers want to study the effectiveness of a new medication to treat depression. In a randomized experiment, $71$ out of $200$ people taking the medication report symptoms of depression. Of the people receiving a placebo, $92$ out of $200$ report symptoms of depression. To see if the medication is working any differently than the placebo, the researchers perform a test of $H_o: p_1=p_2$ $H_a: p_1 \ne p_2$ where $p_1$ is the true proportion of individuals like the ones in this study who take the new medication and report symptoms of depression, and $p_2$ is the true proportion of individuals like the ones in this study who take a placebo and report symptoms of depression. Suppose that a two-sample proportion significance test results in a $p$-value of $0.03$. **What is the correct interpretation of the $p$-value?** [[☃ radio 1]]
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Duration
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