3.12.B—Identify the null and alternative hypotheses for the difference between population proportions

Identify the null and alternative hypotheses for the difference between population proportions.

• For a two-sample z-test for the difference between two population proportions, the null hypothesis indicates no difference. The null hypothesis for the difference between two population proportions can be written as either H: 01 2pp or H: 001 2pp . A onesided alternative hypothesis for the difference bet ween two population proportions can be written as either H: a pp12 or equivalently H: a pp12 0, or H: a pp12 or equivalently H: a pp12 0. A two-sided alternative hypothesis for the difference bet ween two population proportions can be written as either H: a pp12 or equivalently H: a pp12 0 .