Explain why (a) is used in computing the standard error of in the large sample test statistic for a hypothesis test about the difference between two population proportions (b) and are used in computing the standard error of in the large sample confidence interval for the difference between two population proportions

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Question: Explain why (a) ???? = ???????? ????????+???????? ????????/????????+???????? is used in computing the standard error of ???????? ???????? in the large sample ????-test statistic

Explain why

(a) ˆ???? = ???????? ˆ????????+???????? ˆ????????/????????+????????

is used in computing the standard error of ˆ???????? − ˆ???????? in the large sample ????-test statistic for a hypothesis test about the difference between two population proportions?

(b) ˆ???????? and ˆ???????? are used in computing the standard error of ˆ????????−ˆ???????? in the large sample confidence interval for the difference between two population proportions?

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