If we want to perform a one-tail test of a population proportion p,we can employ either the z-test of p,or the chi-squared goodness-of-fit test.

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The z-test is appropriate for testing a population proportion, while the chi-squared goodness-of-fit test is used for categorical data to see if observed frequencies match expected frequencies. They are not interchangeable for testing a single population proportion.

If We Want to Perform a One-Tail Test of a Population