If α = 0.001, the critical value, to three decimal places is; 3.090
We are told that it is a right-tailed test with a significance value of α = 0.001
This is where all the probability is to the right of some z-score, and that probability has to be 0.001.
Due to the fact that the z-table only reads from the left, right area of 0.001 is equivalent to left area of 0.999.
Thus, we have to find the area that is closest to 0.999 or when the values cross over 0.999. The values are 0.9989 and 0.99901.
Then we now look at the row for the first-decimal and then the columns for the second-decimal of the z-score.
The z-score corresponding to area of 0.99898 is 3.089, and the z-score corresponding to the area of 0.99901 is 3.090
We will choose the bigger (absolute) z-score and conclude that the critical value is 3.09
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