Question

Find the level of the confidence interval that has the given critical vaule 1.53​

Answer 1

Given : critical value 1.53​

To Find :  the level of the confidence interval

Solution:

level of significance =   α

level of the confidence interval = 1 -  α

Assuming both sides case

Z score 1.53  from table represent 93.70  %

Hence α/2 = 100 - 93.70

=>  α/2 =  6.3 %

=> α = 12.6 %

Hence α = 0.126

level of significance =  0.126

level of the confidence interval = 1 - α  

=  1 - 0.126

= 0.874

= 87.4 %

level of the confidence interval = 87.4 %  or  0.874 for the  critical value 1.53​

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