The rejection region for testing the hypotheses H0: $\mu$ = 100
HA: $\mu$ $\neq$ 100
At the 0.05 level of significance is:

Question

The rejection region for testing the hypotheses H0: $\mu$ = 100 HA: $\mu$$\neq$100 At the 0.05 level of significance is: A)|Z < 0.95. B)|Z| > 1.96. C)Z > 1.65. D)Z < 2.33.

Quizplus · Accepted Answer

The rejection region for a two-tailed test with a significance level of 0.05 is when |Z| > 1.96. This is because the critical values for a two-tailed test with a 0.05 significance level are -1.96 and 1.96, and if the test statistic falls outside of these values, it is considered statistically significant at the 0.05 level. In this case, the null hypothesis is rejected if the sample mean is significantly different from 100 (either greater than or less than).

The Rejection Region for Testing the Hypotheses H0 μ\muμ = 100 HA

The Rejection Region for Testing the Hypotheses H0 $\mu$ = 100
HA