Answered: For which of the following pairs of…

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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For which of the following pairs of significance levels and pp-values are the results statistically significant? That is, for each αα, should H0H0 be rejected based on the given pp-value?

Select all cases where H0H0 should be rejected:

α=α=0.100; pp-value==0.099
α=α=0.010; pp-value==0.125
α=α=0.003; pp-value==0.008
α=α=0.025; pp-value==0.029
α=α=0.050; pp-value==0.015

Expert Solution

Step 1

Rejection rule:

The null hypothesis $H_{0}$ will be rejected if $p - v a l u e \leq α$ .

α=0.100; p-value=0.099

Here, the p-value 0.099 is less than the significance level α=0.100.

The null hypothesis should be rejected.

Thus, the results are statistically significant.

α=0.010; p-value=0.125

Here, the p-value 0.125 is greater than the significance level α=0.010.

The null hypothesis should not be rejected.

Thus, the results are not statistically significant.

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