Appropriate Rejection Region for a Given Level of Significance

Front

What happens to the boundaries for the critical region when the alpha level is increased from 0.01 to 0.05?

Back

The boundaries for the critical region do not move farther away from the center of the distribution; they actually move closer.

Front

What is the rejection region for a two-tailed test with α = 0.10?

Back

z ≤ -1.645 or z ≥ 1.645

Front

What is the critical value of z in a left-tailed test with α = 0.025?

Back

-1.960

Front

What is defined as the amount of data in the tail(s) of the curve?

Back

Significance level

Front

What is the critical value of z in a right-tailed test with α=0.01?

Back

2.325

Front

Define 'alpha level' in hypothesis testing.

Back

The alpha level (α) is the threshold probability for rejecting the null hypothesis, commonly set at 0.05 or 0.01.

Front

What does a two-tailed test imply in hypothesis testing?

Back

A two-tailed test checks for the possibility of an effect in two directions, both positive and negative.

Front

What is the significance level in hypothesis testing?

Back

The significance level is the probability of rejecting the null hypothesis when it is true, denoted as α.

Front

How do you determine the critical value for a given alpha level in a right-tailed test?

Back

Use the z-table to find the z-score that corresponds to 1 - α.

Front

What is the relationship between the significance level and the size of the rejection region?

Back

As the significance level increases, the size of the rejection region also increases.