Using a z-table for the value, the critical z-value for a confidence level of 85% is; ±1.439.
The critical value of a distribution is defined as the value beyond which the rejection region lies.
Now, for a confidence interval , the rejection region lies beyond two values, the positive and the negative critical value.
We are given that the confidence level is 85%.
Thus, the computation of the critical value of z for 85% confidence level is expressed as follows;
±z_α/2 = ±z_0.15/2
This is simplified to get;
±z_0.075 = ±1.439
That value is concluded to be the critical z-value at the given confidence level.
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