What does it mean when a computer printout reads "p = 0.03"?
A)The falls in the extreme 3% of the sampling distribution and the probability of a Type I error is 0.03.
B)The falls in the extreme 3% of the sampling distribution and the probability of a Type II error is 0.03.
C)The probability of a Type I error (0.03)is smaller than $\alpha$ (0.05),and,therefore,the results are nonsignificant.
D)The probability of an error should be reported as p $\lt$ 0.01.

Question

What does it mean when a computer printout reads "p = 0.03"?
A)The falls in the extreme 3% of the sampling distribution and the probability of a Type I error is 0.03. 
B)The falls in the extreme 3% of the sampling distribution and the probability of a Type II error is 0.03. 
C)The probability of a Type I error (0.03)is smaller than $\alpha$ (0.05),and,therefore,the results are nonsignificant. 
D)The probability of an error should be reported as p $\lt$ 0.01.

Quizplus · Accepted Answer

A computer printout reading "p = 0.03" typically indicates a statistical significance level, meaning that the result falls in the extreme 3% of the sampling distribution. This means that there is a low probability (0.03) of obtaining such a result by chance alone, suggesting that the result is statistically significant. In this case, the probability of a Type I error (false positive) is also mentioned, which is important to consider when interpreting the result. Choice A accurately reflects this interpretation.

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