Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

Question

α = 0.09 for a right-tailed test.

A) ±1.34
B) 1.96
C) 1.34
D) ±1.96

Answer 1

To find the critical z value for a right-tailed test at a significance level (α) of 0.09, you will need to look up the z value that corresponds to the area in the right tail of the standard normal distribution that equals 0.09.

Since this is a right-tailed test, we need to find the z value that corresponds to 1 - α = 1 - 0.09 = 0.91 (the cumulative area to the left of the critical value).

Using the standard normal distribution table, or a z-table, you can find that the z value corresponding to 0.91 is approximately 1.34.

Thus, the correct answer is:

C) 1.34