a. The correlation between speed and strength for 20 women is .567. Test these results at the .01 level using a one-tailed test.

Answer 1

To find if there is a statistically significant linear relationship between speed and strength, use N-2 for degrees of freedom at the .01 significance level for a one-tailed test. Use a table for critical or cutoff values for a Pearson r. Compare the value from the table to the test statistic stated in the problem. If the test statistic exceeds the critical value from the table, the null will be rejected. There will be a linear relationship in the population and the test will be statistically significant. If the test statistic does not exceed the critical value from the table, then the null will not be rejected and you cannot conclude a linear relationship in the population.