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P-Value Interpretation For Regression Slope

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A regression analysis was conducted to test the hypotheses H₀: β = 3 versus Hₐ: β ≠ 3. The resulting p-value was 0.12. Which of the following statements provides the most accurate interpretation of this p-value?

A

There is an 88% chance that β ≠ 3.

B

12% of all possible regression slopes would equal 3.

C

The probability that β = 3 is 0.12.

D

If β = 3, the probability of obtaining the sample slope or more extreme is 0.12.

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