Question

Factors that influence a hypothesis test Aa Aa Suppose you conduct a hypothesis test about a population mean when the standard deviation is known (a "z test" calculating a z statistic and determining whether to reject the null hypothesis. Assume that your z statistic is a positive value and that you will reject the null hypothesis when z is very large. Listed below are possible changest the study design or to the results of the study. Determine whether the z statistic increases, decreases, or stays the same for each of these changes. Use the dropdown menus in the right-hand column to indicate your choice. Change in Study Design or Results A switch from using a two-tailed test to a one-tailed test A decrease in the population variance (?2) A decrease in the significance level (such as using ?-01 instead of ?-.05) An increase in the sample size (n) The z statistic Stays the same Increases Suppose you reject the null hypothesis. Then, the results of your study are

Answer 1

Factors that influence a hypothesis test using a z-test. How to interpret the results of a hypothesis test.

Step-by-step explanation:

In a hypothesis test of a population mean using a z-test, there are several factors that can influence the z statistic:

1. Switching from a two-tailed test to a one-tailed test does not change the z statistic.
2. A decrease in the population variance (σ^2) leads to an increase in the z statistic.
3. A decrease in the significance level (such as using α=0.01 instead of α=0.05) does not change the z statistic.
4. An increase in the sample size (n) does not change the z statistic.

If you reject the null hypothesis, it means there is sufficient evidence to support the alternative hypothesis.