You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha:ρ≠...
You wish to conduct a hypothesis test to determine if a
bivariate data set has a significant correlation among the two
variables. That is, you wish to test the claim that there is a
correlation (Ha:ρ≠0Ha:ρ≠0). You have a data set with 69 subjects,
in which two variables were collected for each subject. You will
conduct the test at a significance level of α=0.05α=0.05.
Find the critical value for this test (Pick the closest
conservative value from the table).
rc.v. = ±±
Report answers accurate to three decimal places.
Homework Answers
The sample size is n=69, so then the number of degrees of freedom is df=n−2=69−2=67
The corresponding critical correlation value rc for a significance level of α=0.05, for a two-tailed test is:
rc=0.237
Observe that in this case, the null hypothesis is rejected if ∣r∣>rc=0.237.
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You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha:ρ≠...
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