Using the z-table (Table E) find the critical value (or values) for a = .018 left tailed test.
Assuming that Table E is the distribution of scores/areas within a normal distribution, look for the Z score that has .018 in the smaller portion. This would give you the Z score for a one-tailed test, regardless of the direction.
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To find the critical value for a left-tailed test using the z-table (Table E), follow these steps:
1. Look up the given significance level (alpha) of 0.018 in the z-table. The z-table provides the area to the left of the z-score.
2. Locate the row that contains the first digit(s) of the significance level. In this case, the first digit is 0.01.
3. Locate the column that contains the second digit(s) of the significance level. In this case, the second digit is 0.008.
4. Find the corresponding value in the table. The value in the table represents the area to the left of the z-score.
For a left-tailed test, find the z-score that corresponds to the given significance level. The critical value is the negative of this z-score.
Therefore, to find the critical value for a left-tailed test with a significance level of 0.018:
1. In the z-table, locate the row starting with 0.01.
2. Look in the column for 0.008.
3. The corresponding value is approximately -2.25.
Hence, the critical value (or values) for a left-tailed test with a significance level of 0.018 is approximately -2.25.