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