find the critical value za÷2corresponding. Into the given

Olive Eyorokpoebimi

Olive Eyorokpoebimi

Answered question

2022-07-06

find the critical value za÷2corresponding. In

to the given confidence intervals: 90%, 93

Answer & Explanation

Andre BalkonE

Andre BalkonE

Skilled2023-05-29Added 110 answers

To find the critical value zα/2 corresponding to the given confidence intervals, we need to determine the significance level (α) associated with each confidence level.
For a two-tailed confidence interval, the total confidence level is distributed equally in both tails of the standard normal distribution. This means that each tail contains α/2 of the total confidence level.
Let's calculate the critical values for the given confidence intervals:
1) For a 90% confidence interval:
Since the confidence level is 90%, the remaining significance level (not included in the interval) is 10.90=0.10. Dividing this by 2, we have α/2=0.10/2=0.05.
The critical value zα/2 for a 95% confidence interval is approximately 1.645.
2) For a 93% confidence interval:
Here, the remaining significance level is 10.93=0.07, and dividing this by 2 gives α/2=0.07/2=0.035.
The critical value zα/2 for a 93% confidence interval is approximately 1.811.

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