From Exercises 12 97 and 12 98, we conjecture that, for a comparison of two population proportions, the value of the 2 statistic of a chi square homogeneity test equals the square of the value of the z statistic of a two proportions z test Establish that fact ...

We will show that z 2 and x 2 are the same when there are two populations each wit ...

From Exercises 12.97 and 12.98, we conjecture that, for a comparison of two population proportions, the value

Question:

From Exercises 12.97 and 12.98, we conjecture that, for a comparison of two population proportions, the value of the χ2-statistic of a chi-square homogeneity test equals the square of the value of the z-statistic of a two-proportions z-test. Establish that fact.