In testing the hypotheses H ₀: m = 75 vs. H ₁: m z equals - 2.42, then the p -value is: A)0.5078 B)2.4200 C)0.9922 D)0.0078

Question

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The p-value is the probability of observing a test statistic as extreme as, or more extreme than, the observed value under the null hypothesis. A z-score of -2.42 is in the lower tail of the normal distribution, indicating a small p-value. Among the given options, 0.0078 (D) is the correct p-value for a z-score of -2.42, indicating a very low probability of observing such an extreme result if the null hypothesis were true.

In Testing the Hypotheses H 0: M = 75 Vs

In Testing the Hypotheses H ₀: M = 75 Vs