Answered: State whether the standardized test…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

100%

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

Z0=1.285

(a) z=1.301

(b) z=1.044

(d) z=1.474

(a) For z=1.301, 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.

(b) For z=1.044, 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.

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.

(d) For z=1.474, 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.

Expert Solution

Step 1

For acceptance and rejection of the null hypothesis (H₀) :

The null hypothesis is accepted or rejected :

If the value of z - statistic is greater than z₀ then we reject the null hypothesis (H₀) . In this case the alternative hypothesis may be accepted.
If the value of z-statistic is less than the z₀ then the null hypothesis is accepted i.e., we fail to reject the null hypothesis (H₀).

For the two tail test if the value of z statistic lie outside the region [± z₀] then we reject the null hypothesis. If the value lie inside the interval then we fail to reject the null hypothesis.

For, one tail test if z-statistic is less than z₀ we fail to reject the null hypothesis. If z-statistic is greater than z₀ then we reject the null hypothesis.