A two-tail test for the population mean m produces a test-statistic z = 1.89. The p -value associated with the test is 0.0588.

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The p-value is calculated based on the z-score in a two-tailed test. A z-score of 1.89 corresponds to a p-value around 0.0588 when looking up in standard normal distribution tables or using statistical software, indicating the probability of observing a test statistic at least as extreme as the one observed under the null hypothesis.

A Two-Tail Test for the Population Mean M Produces a Test-Statistic