Refer to Exercise 10.82. There seem to be two distinct rates€” those around 12% and those around 70%. Combine the sample data for the first two groups and for the last four groups. Use these data to test the hypotheses H0: Ï€1 €“ Ï€2 $ 0 versus Ha: Ï€1 €“ Ï€2, 0. Here, Ï€1 corresponds to the population rate for the first combined group, and Ï€2 is the corresponding proportion for the second combined group. Give the p- value for your test.
In exercise

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Sample Size Responding (60 of Each Group Were Contacted) Number Reporting Altered Digestive System Ethnic Group Anglo-Saxon German Latin American Italian Spanish African American 58 52 54 30 49 38 20 31