Question

State whether the standardized test statistic z indicates that you should reject the null hypothesis. ​(a)...

State whether the standardized test statistic z indicates that you should reject the null hypothesis.

​(a)

z=1.296

​(b)

z=1.049

​(c)

z=−1.086

​(d)

z=1.531

 -404z

z0=1.285

A normal curve is over a horizontal axis labeled z from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segment extends to the right of 0 from the horizontal axis to the curve at z 0 equals 1.285 . The area under the curve to the right of z 0 equals 1.285 is shaded.

​(a) For

z=1.296​,

should you reject or fail to reject the null​ hypothesis?

A.

Fail to reject  

H0

because

z>1.285.

B.

Reject

H0

because

z<1.285.

C.

Fail to reject

H0

because

z<1.285.

D.

Reject

H0

because

z>1.285.

​(b) For

z=1.049​,

should you reject or fail to reject the null​ hypothesis?

A.

Reject

H0

because

z>1.285.

B.

Fail to reject

H0

because

z<1.285.

C.

Reject

H0

because

z<1.285.

D.

Fail to reject

H0

because

z>1.285.

​(c) For

z=−1.086​,

should you reject or fail to reject the null​ hypothesis?

A.

Reject

H0

because

z<1.285.

B.

Reject

H0

because

z>1.285.

C.

Fail to reject

H0

because

z>1.285.

D.

Fail to reject

H0

because

z<1.285.

​(d) For

z=1.531​,

should you reject or fail to reject the null​ hypothesis?

A.

Fail to reject

H0

because

z<1.285.

B.

Reject

H0

because

z>1.285.

C.

Reject

H0

because

z<1.285.

D.

Fail to reject

H0

because

z>1.285.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

If the test statistic is greater than the critical value z0 = 1.285, we reject the null hypothesis.

If the test statistic is less than the critical value z0 = 1.285, we fail to reject the null hypothesis.

​(a) For z=1.296​,

D. Reject H0 because z > 1.285.

​(b) For z = 1.049​,

B. Fail to reject H0 because z < 1.285.

​(c) For z=−1.086​,

should you reject or fail to reject the null​ hypothesis?

D. Fail to reject H0 because z < 1.285.

​(d) For z=1.531​,

B. Reject H0 because z > 1.285.

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