Question

Read the z statistic from the normal distribution table and choose the correct answer. For a one-tailed test (lower tail) using a = .0901, z =

A) -1.645
B)-1.34
C)-1.86
D)-1.96

Answer 1

The correct z-statistic from the normal distribution table for the given one-tailed test (lower tail) with an alpha level of .0901 is closest to -1.34.

Step-by-step explanation:

To determine the correct z-statistic from the normal distribution table for a one-tailed test (lower tail) using an alpha (α) level of .0901, we need to find the z-score that corresponds to the significance level in the left tail of the normal distribution. The critical z-value that has a probability of 0.05 to its left tail is -1.645. However, since the given α is 0.0901, which is larger than 0.05, we are looking for a z-score that corresponds to an area greater to the left on the normal curve than the area to the left of -1.645.

Looking at the provided information, none of the z-scores given in the options directly match the α level of 0.0901. We know that -1.645 corresponds to an area of 0.05 to its left, so we need a z-score that is less extreme (closer to zero) since 0.0901 is a larger area than 0.05. Option B) -1.34 would be the closest approximation for the α level of 0.0901, according to typical z-score tables.