Suppose you want to test H₀: ? ? 30 versus H₁: ? ? 30.Which of the following possible sample results based on a sample of size 36 gives the strongest evidence to reject H₀ in favour of H₁? A) $\bar { X }$ = 32, S = 2 B) $\bar { X }$ = 26, S = 9 C) $\bar { X }$ = 28, S = 6 D) $\bar { X }$ = 27, S = 4

Question

Quizplus · Accepted Answer

The sample with the largest test statistic (z-score) provides the strongest evidence against the null hypothesis. In this case, the sample with $\bar { X }$ = 27 and S = 4 has the largest z-score, which is calculated as (27 - 30) / (4 / sqrt(36)) = -3.

Suppose You Want to Test H0: ? ? 30 Versus Xˉ\bar { X }Xˉ

Suppose You Want to Test H₀: ? ? 30 Versus $\bar { X }$