A researcher wishes to test the effects of excerise on the ability to complete a basic skills test. He designs a pre-test and post-test to give to each participant. You believe that there was a difference in the scores. You believe the population of the differences is normally distributed, but you do not know the standard deviation. When calculating difference use Post-test minus Pre-test. post-test 63 pre-test 71 97 94 66 66 41 32 96 97 41 45 79 81 98 106 76 70 63 70 42 47 86 94 Which of the following are the correct hypotheses? O Ho: Hd 2 0 HA: Ha < 0(claim) O Ho : µd <0 HA: Ha > 0(claim) O Ho: µa = 0 HA: Ha + 0(claim) Given that a is 0.05 the critical value is 2.201 and -2.201 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that there was a difference in the scores. O There is not enough evidence to reject the claim that there was a difference in the scores. O There is enough evidence to support the claim that there was a difference in the scores. O There is not enough evidence to support the claim that there was a difference in the scores.

Given information-

Sample size, n = 12

Significance level, α = 0.05

We have given the critical value is 2.201 to -2.201.

We have to test the claim that there was a difference in score.

Hypothesis Formulation-

Null Hypothesis, H₀: μ_D = 0

Alternate Hypothesis, H_a: μ_D ≠ 0 (Claim)

So, option C is correct.

Since here population standard deviation is unknown so using t-test statistics.