A two-tailed test of the population proportion produces a test statistic z = 1.77. The p-value of the test is 0.4616.

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A p-value of 0.4616 is not significant at the customary 0.05 level, therefore we fail to reject the null hypothesis. So, the conclusion is that there is not enough evidence to say that the population proportion is significantly different from the hypothesized value, but we cannot say it is equal to that value either. As it is a two-tailed test with a non-significant p-value, the test statistic should be negative in order to reject the null hypothesis for the left-tailed test or positive to reject the null hypothesis for the right-tailed test. A test statistic of z = 1.77 corresponds to a right-tailed test.

A Two-Tailed Test of the Population Proportion Produces a Test