The hypotheses H₀: $\mu$= 350 versus H_a: $\mu$

Question

The hypotheses H₀: $\mu$= 350 versus H_a: $\mu$ < 350 are examined using a sample of size n = 20.The one-sample t statistic has the value t = -1.68.What do we know about the P-value of this test? A)P-value < 0.01 B)0.01 < P-value < 0.025 C)0.025 < P-value < 0.05 D)P-value > 0.05

Quizplus · Accepted Answer

Given the t statistic of -1.68 with a sample size of 20 (which implies 19 degrees of freedom for a one-sample t-test), and considering the nature of the hypothesis test (a one-tailed test since the alternative hypothesis is "< 350"), the P-value will be greater than 0.05. This is because a t value of -1.68 is not extreme enough (in the tails of the t distribution) to suggest a P-value less than 0.05 for typical significance levels in a one-tailed test.

The Hypotheses H0 μ\muμ = 350 Versus Ha μ\muμ < 350 Are Examined Using a Sample of Size N

The Hypotheses H₀ $\mu$ = 350 Versus H_a $\mu$ < 350 Are Examined Using a Sample of Size N