The type of test (left, right, or two-tailed) you choose to use is dictated by the null hypothesis. A left-tailed test is used when the hypothesis implies a parameter surpasses a certain value. Conversely, a right-tailed test is utilized when the parameter is suggested to be less than a value. For situations where the parameter is simply not equivalent to a specific value, a two-tailed test is employed.
| Topic | Problem | Solution |
|---|---|---|
| None | The test statistic of $z=2.88$ is obtained when t… | We are given a test statistic of \(z=2.88\) for testing the claim that \(p>0.29\). This is a right-… |
| None | A drug tester claims that a drug cures a rare ski… | Given that the drug cures the disease 84% of the time, we are asked to find the probability that le… |
| None | To test $H_{0}: \sigma=2.2$ versus $H_{1}: \sigma… | We are given a hypothesis test $H_{0}: \sigma=2.2$ versus $H_{1}: \sigma<2.2$. A random sample of s… |
| None | Postpartum depression and anxiety (PPD), is a com… | Define the null hypothesis as the true proportion of women who suffer from PPD is 13% (0.13), and t… |
| None | To test $H_{0}: \sigma=1.1$ versus $H_{1}: \sigma… | The test statistic for a hypothesis test about a population standard deviation or variance is a chi… |
| None | An investor wants to invest his money in a fund w… | The problem is asking for the critical value of the test statistic for a chi-square test. This test… |
| None | A test of sobriety involves measuring the subject… | Given that the sample size is 33, the sample mean is 68.1, the sample standard deviation is 4, and … |
| None | One study claimed that $93 \%$ of college student… | The problem is asking for a hypothesis test for a proportion. The null hypothesis is that the propo… |
| None | The test statistic of $z=1.80$ is obtained when t… | This is a right-tailed test. |
| None | Question 9 2 pts Consider the following hypothesi… | Calculate F ratio: \(F = \frac{\sigma_{1}^2}{\sigma_{2}^2} = \frac{3.9}{4.5}\) |