Part 3 of 5 Compute the test statistic. Round the answer to two decimal places. \[\nz=-1.61 \]

When you're calculating a test statistic like \( z \), it's important to know what you’re comparing it against! Most commonly, you’ll be using this \( z \) value to find out how unusual your test results are under a certain null hypothesis. In this case, \( z = -1.61 \) suggests that your sample mean is 1.61 standard deviations below the mean under the null hypothesis. To further understand what this means in context, look up critical z-values corresponding to your significance level! For example, at a 0.05 significance level for a two-tailed test, the critical z-values are approximately ±1.96. Since -1.61 is not more extreme than -1.96, you would fail to reject the null hypothesis in this scenario—very pivotal information for interpreting your results!