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# Inference for the Difference Between Two Population Proportions for AP Statistics

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By — McGraw-Hill Professional
Updated on Feb 4, 2011

Practice problems for these concepts can be found at:

The logic behind inference for two population proportions is the same as for the others we have studied. As with the one-sample case, there are some differences between z-intervals and z-tests in terms of the computation of the standard error. The following table gives the essential details.

example: Two concentrations of a new vaccine designed to prevent infection are developed and a study is conducted to determine if they differ in their effectiveness. The results from the study are given in the following table.

Does this study provide statistical evidence at the α = 0.01 level that the vaccines differ in their effectiveness?

solution:

Practice problems for these concepts can be found at:

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