A researcher questions whether there is a correlation between the initial math-related anxiety and the final grade of the statistics course.  She computes the Pearson's r in a class of 37 students and gets a value or r = .324.  What should her statistical decision be at the alpha = .05 level?   a. She should fail to reject the null hypothesis if this was either one-tailed or two-tailed test.   b. She should fail to reject the null hypothesis if this was a one-tailed test but not if it was a two-tailed test.   c. She should reject the null hypothesis if this was either a one-tailed or two-tailed test.   d. She should reject the null hypothesis if this was a one-tailed test but not if it was a two-tailed test.

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A researcher questions whether there is a correlation between the initial math-related anxiety and the final grade of the statistics course.  She computes the Pearson's r in a class of 37 students and gets a value or r = .324.  What should her statistical decision be at the alpha = .05 level?

  a.

She should fail to reject the null hypothesis if this was either one-tailed or two-tailed test.

  b.

She should fail to reject the null hypothesis if this was a one-tailed test but not if it was a two-tailed test.

  c.

She should reject the null hypothesis if this was either a one-tailed or two-tailed test.

  d.

She should reject the null hypothesis if this was a one-tailed test but not if it was a two-tailed test.

Expert Solution
Step 1

From the given information, the required hypothesis will be given by as follows:

H0:ρ=0H1:ρ0

Test statistic will be given  y as follows:

t=rn-21-r2=0.324×37-21-0.32422.026

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