Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

If you use a 0.05 level of significance in a? (two-tail) hypothesis? test, the d

ID: 3053962 • Letter: I

Question

If you use a 0.05 level of significance in a? (two-tail) hypothesis? test, the decision rule for rejecting H0 : mu equals 14.9, H0: ?=14.9,

if you use the Z? test, is shown below.

Reject H0 if ZSTAT < -1.96 or ZSTAT > + 1.96.

What is your decision if ZSTat = +2.30?

Choose the correct answer below.

A. Since ZSTAT falls into the nonrejection region, reject H0.

B. Since ZSTAT falls into the nonrejection region, do not reject H0.

C. Since ZSTAT falls into the rejection region, reject H0.

D. Since ZSTAT falls into the rejection region, do not reject H0

Explanation / Answer

ZSTAT = 2.30

Comparing this value with rejection region, ZSTAT is in the rejection region.

(Note that , Non-rejection region is -1.96 < Z < 1.96, that is any ZSTAT value is in the interval

-1.96 to 1.96 is in the nonrejection region and value of ZSTAT is outside of the interval

-1.96 to 1.96 is in the rejection region.)

Decision -

Since ZSTAT falls into the rejection region , reject H0.