Dr. Hogan was interested in the effects of test anxiety on concentration abiliti

Question

Dr. Hogan was interested in the effects of test anxiety on concentration abilities. He measured student anxiety levels when the students arrived at his laboratory and then again immediately before taking an examination using an anxiety questionnaire. Dr. Hogan hypothesized that participants in his study would have higher anxiety scores immediately prior to the completion of the exam compared to when they first came in. As hypothesized, Dr. Hogan found that participants’ anxiety scores were significantly higher immediately prior to the examination compared to baseline scores.

a. As a result of this information, what type of t test was Dr. Hogan MOST likely to use to test his hypothesis? Why did you reach this conclusion?

b. Is Dr. Hogan’s hypothesis test one-tailed or two-tailed? Explain your answer.

Explanation / Answer

as the same participants were used for measuring the scores before and after a treatment , in this case exminati0n,hence this is a case of matched pair design . so we can go ahead with the matched pair t test to check the significance level whether the average anxiety scores are statistically different

b)

we know that

Dr. Hogan hypothesized that participants in his study would have higher anxiety scores immediately prior to the completion of the exm compared to when they first came in.

As we are interested in the highest part , hence this is a directional 1 tail test.

Had it only been the "difference" then we would have gone for a 2 tail test

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