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 82 gastric freezing patients improved, while 30 of the 78 patients in the placebo group improved.  We can test the hypothesis of “no difference” between the two groups in two ways: using the two-sample z statistic or using the chi-square statistic A. State the null hypothesis with a two-sided alternative and carry out the z test for proportions. Assume that the conditions are met, what are the test statistic and the p-value. B. Present the data in a 2X2 table and complete the chi-square test. Assume the conditions are met, what are the test statistics and p-value. C. Square the test statistic in part (a) and compare it to the test statistic in part (b.) What do you notice.

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  1. 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 82 gastric freezing patients improved, while 30 of the 78 patients in the placebo group improved.  We can test the hypothesis of “no difference” between the two groups in two ways: using the two-sample z statistic or using the chi-square statistic

A. State the null hypothesis with a two-sided alternative and carry out the z test for proportions. Assume that the conditions are met, what are the test statistic and the p-value.

B. Present the data in a 2X2 table and complete the chi-square test. Assume the conditions are met, what are the test statistics and p-value.

C. Square the test statistic in part (a) and compare it to the test statistic in part (b.) What do you notice.

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