## Related questions with answers

Gastric freezing was once a recommended treatment for ulcers in the upper intestine. Use of gastric freezing stopped after experiments showed it had no effect. One randomized comparative experiment found that 28 of the 82 gastric-freezing patients improved, while 30 of the 78 patients in the placebo group improved. We can test the hypothesis of "no difference" in the effectiveness of the treatments in two ways: with a two-sample z test or with a chi-square test. State appropriate hypotheses for a chi-square test.

Solution

VerifiedThe null hypothesis states that there is no difference in the distribution of the categorical variable for each of the populations/treatments. The alternative hypothesis states that there is a difference.

$\begin{align*} H_0&:\text{There is no difference in the improvement rate of the two treatment groups.} \\ H_a&:\text{There is a difference in the improvement rate of the two treatment groups.} \end{align*}$

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