Greatness in Critical Region

It is the range of values of the test statistic that signifies that there is a significant difference and that the null hypothesis should be rejected.

• TYPE I

• TYPE II

• LEVEL OF SIGNIFICANCE

• CRITICAL REGION

Find the critical value(s) for a two-tailed test at the 5% significance level.

• z = ±1.96

• z = ±1.645

If the significant level is increased from 0.01 (1%) to 0.05 (5%), then the boundaries for the critical region move farther away from the center of the distribution.

• True

• False

A z-score value in critical region means that you should reject the null hypothesis.

• True

• False

________ separates the rejection region from the non-rejection region

• rejection region

• acceptance region

• critical value

• test statistic

What can you say?

• Reject H0 in favour of H1. There is evidence that...

• Do not reject H0

What can you say?

• Do not reject H0.

• Accept H0.

A one-tailed test at the 5% significance level. Find the critical region.

X~B(20, 0.25), H₀ : p=0.25, H₁ : p<0.25

• X = 0

• X ≤ 1

• X ≤ 2

• X ≤ 3