The formula to calculate critical values for correlation coefficient hypothesis tests is not that messy.
First, determine the significance level and the type of test (1- or 2-tailed).
Then, find the corresponding critical t value using degrees of freedom.
Take this value and plug it into the equation
The advantage of this formula is that it allows you to find more critical values than those listed in some tables.
In particular, you can find one- and two-tailed critical values and for different significance levels.
You wish to conduct a hypothesis test to determine if a bivariate data set has a significant negative correlation among the two variables. That is, you wish to test the claim that . You have a data set with 143 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of .
Find the critical value for this test (use the formula given above).
rc.v. =
Report answers accurate to three decimal places.
You wish to conduct a hypothesis test to determine if a bivariate data set has a significant negative correlation among the two variables. That is, you wish to test the claim that . You have a data set with 143 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of .
Find the critical value for this test (use the formula given above).
rc.v. =
Report answers accurate to three decimal places.