QuestionTwo types of medicines are being tested in their effectiveness at reducing migraines. Two random samples of 200 patients were each given either Medicine A or Medicine B. In the group given Medicine A, 23 reported no headache after 30 minutes and in the group given Medicine B, 50 reported no headache after 30 minutes.
Complete the setup for a hypothesis test at $1 \%$ level of signficance to determine if there is a difference in the proportion of relieved headaches. You may use the Compare Two Population Proportions tool.
Identify the null and alternative hypothesis. The null hypothesis is $H_{0}: p_{A}>p_{B}$ $H_{0}: p_{A}<p_{B}$ $H_{0}: p_{A}=p_{B}$ $H_{0}: p_{A} \neq p_{B}$ The alternative hypothesis is $H_{A}: p_{A}>p_{B}$ $H_{A}: p_{A}<p_{B}$ $H_{A}: p_{A}=p_{B}$ $H_{A}: p_{A} \neq p_{B}$
Round your answers to three decimal places.
The pooled proportion is $p_{c}=$ $\square$ , the standard error is $\mathrm{SE}=$ $\square$ and the test statistic is $z=$ $\square$ We will use a Select an answer test.