rue or False?  If we reject the null hypothesis at a significance level of α = .05, then we also reject the null hypothesis at a significance level of α = .01. If we fail to reject the null hypothesis at a significance level of α = .01, then we also fail to reject the null hypothesis at a significance level of α = .05. If we fail to reject the null hypothesis at a significance level of α = .05, then we also fail to reject the null hypothesis at a significance level of α = .01.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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True or False?

  1.  If we reject the null hypothesis at a significance level of α = .05, then we also reject the null hypothesis at a significance level of α = .01.
  2. If we fail to reject the null hypothesis at a significance level of α = .01, then we also fail to reject the null hypothesis at a significance level of α = .05.
  3. If we fail to reject the null hypothesis at a significance level of α = .05, then we also fail to reject the null hypothesis at a significance level of α = .01.
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If we reject the null hypothesis at a significance level of α = .05, then we also reject the null hypothesis at a significance level of α = .01.

False

Reason

if the the significance level is decreases  then the critical value is increases 

If we reject the null hypothesis at a significance level of α =0 .05 and the level of significance is decreases  to 0.01 

 then we also reject the null hypothesis at a significance level of α = .01. 

 

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