Final answer:
The correct answer finds the test statistic and p-value relevant to the statistical test being performed, with values obtained from statistical software or calculations, then sketches a graph with the appropriate shaded area.
Step-by-step explanation:
The correct answer is option test statistic and p-value. To find the p-value for hypothesis testing, one can use statistical software or tables depending on the distribution of the sample data.
For instance, using a calculator such as a TI-83+/84+, you can input your data and select the appropriate statistical test to obtain the test statistic and p-value.
For a two-sample F-test, as indicated in one of the provided statements, you would get a test statistic of 2.9986 and a p-value of 0.3127.
Similarly, for a two-sample Z-test, the calculated test statistic could be 0.9157 with a p-value of 0.1799. When sketching the graph, label and scale the x-axis appropriately, mark the mean and the test statistic, and shade the area that corresponds to the p-value,
which represents the probability of obtaining a test statistic at least as extreme as the one observed, given that the null hypothesis is true.
The correct answer is option 2. The test statistic is 2.9986 and the p-value is 0.3127. If the lists are input in a different order, the test statistic may be 0.3335, but the p-value remains the same because it is a two-tailed test.