The choice between a left, right, or two-tailed statistical test is dictated by the alternative hypothesis. A left-tailed test is administered when the alternative hypothesis points to a drop, while a right-tailed test is suitable for a rise. A two-tailed test is employed when there is a change from the null hypothesis, irrespective of the direction of the change.
| Topic | Problem | Solution |
|---|---|---|
| None | Use technology to find the P-value for the hypoth… | The claim is that for 12 AM body temperatures, the mean is less than 98.6°F. The sample size is 6 a… |
| None | The test statistic of $z=1.59$ is obtained when t… | The test statistic of \(z=1.59\) is obtained when testing the claim that \(p>0.5\). |
| None | Test the claim about the population mean, $\bolds… | State the null and alternative hypotheses. The null hypothesis is that the population mean is equal… |
| None | The test statistic of $z=2.29$ is obtained when t… | The first question is asking to identify the type of hypothesis test. Since the claim is that \(p \… |
| None | The average student-loan debt is reported to be $… | The student believes that the average student-loan debt in her area is higher than the reported ave… |
| None | The test statistic of $z=-1.69$ is obtained when … | The test statistic of \(z=-1.69\) is obtained when testing the claim that \(p<0.44\). |