Appropriate Rejection Region for a Given Level of Significance

In the right-tailed test with α=0.01, the critical value of z is:

• 1.28

• 1.65

• 1.96

• 2.33

The value that separates a rejection region from an acceptance region is called a ______.

• Parameter

• Hypothesis

• Critical Value

• Significance level

For a two-tailed test with variance unknown, n=19, and α=0.05, what is the critical value?

• ±2.092

• ±2.101

• ±2.145

• ±2.878

For a two-tailed test with a saple size of 40, the null hypothesis will be rejected at 5% level of significance if the test statistic is ______.

• z ≤ -1.28 or z ≥ 1.28

• z ≤ -1.645 or z ≥ 1.645

• z ≤ -1.96 or z ≥ 1.96

• z ≤ -2.33 or z ≥ 3.33

If the alpha level is increased from 0.01 to 0.05, then the boundaries for the critical region move farther away from the center of the distribution.

• True

• False

• Both True or False

• cannot be determined

If the two-tailed test, the rejection region lies on ______ of the normal distribution.

• center

• left tail

• right tail

• both tails

Given the illustration, which of the following is NOT TRUE?

• This is a left-tailed test

• This is a right-tailed test

• This has a critical value of 1.645

• This has a level of significance of 0.5

Given the normal curve, what is the rejection region?

• z ≤ 1.645 or z ≥ 1.645

• z ≥ -1.645 or z ≥ 1.645

• z ≥ -1.96 or z ≤ 1.96

• z ≤ -1.96 or z ≥ 1..96

What is the critical value if the population variance is unknown, n = 13, α = 0.05, and it is a one-tailed test?

• t = 1.782

• t = 2.179

• t = 2.681

• t = 3.055

Given a two-tailed test, population variance is known, and α = 0.10, what is the critical region?

• z ≥ 1.28

• z ≤ -1.96

• z ≤ -2.33 or z ≥ 2.33

• z ≤ -1.645 or z ≥ 1.645