Answer to Question #205758 in Statistics and Probability for Sevilla Mary Ann

Question

For the following items, sketch the graphical representation and identify whether the z-values

fall within the rejection region or in the acceptance region.

a. Z = 2, 95% confidence, two-tailed

b. Z = -2.68, 95% confidence, two-tailed

c. Z = 1.8, 95% confidence, one-tailed

d. Z = 1.33, 99% confidence, one-tailed

e. Z = -4.0, 99% confidence, two-tailed

Answer 1

a.

Acceptance region:

$-1.96<z<1.96$

 z-value falls in the rejection region

b.

Acceptance region:

$-1.96<z<1.96$

z-value falls in the rejection region

c.

Acceptance region:

$z<1.65$

z-value falls in the rejection region

d.

Acceptance region:

$z<2.33$

z-value falls in the acceptance region

e.

Acceptance region:

$-2.58<z<2.58$

z-value falls in the rejection region