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Read the z statistic from the normal distribution table. A one-tailed test (upper tail) at a .123 level of significance; z =

Question

Read the z statistic from the normal distribution table. A one-tailed test (upper tail) at a .123 level of significance; z =

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Solution

To find the z statistic from the normal distribution table for a one-tailed test (upper tail) at a .123 level of significance, you need to follow these steps:

  1. Identify the significance level: The significance level is given as .123. In a one-tailed test, this is the probability in the upper tail of the distribution.

  2. Convert the significance level to a percentile: Since this is an upper-tail test, you subtract the significance level from 1 (1 - .123 = .877). This means you are looking for the z-score that corresponds to the 87.7th percentile.

  3. Look up the corresponding z-score: Using a standard normal distribution table, you find the z-score that corresponds to the closest percentile to .877. The exact value might not be on the table, but typically, the z-score for .877 falls between .64 and .65.

So, the z statistic for a one-tailed test (upper tail) at a .123 level of significance is approximately .64 to .65.

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