In testing the hypotheses H ₀: m = 800 vs. H ₁: m ¹ 800, if the value of the test statistic equals 1.75, then the p -value is: A)0.0401 B)0.0802 C)0.4599 D)0.9599

Question

Quizplus · Accepted Answer

The p-value in a two-tailed test is twice the area in one tail beyond the observed test statistic. Since the test statistic is 1.75, the p-value corresponds to the area in both tails beyond ±1.75. The exact p-value depends on the distribution being used (typically a t-distribution or a standard normal distribution), but none of the provided options exactly match common critical values for these distributions. However, option B) 0.0802 is the closest to what would be expected for a test statistic of 1.75 in a two-tailed test, implying that the area beyond ±1.75 in both tails combined is approximately 8.02%.

In Testing the Hypotheses H 0: M = 800 Vs

In Testing the Hypotheses H ₀: M = 800 Vs