Suppose you conduct a hypothesis test about a population mean when the standard

Question

Suppose you conduct a hypothesis test about a population mean when the standard deviation is known (a "z test") by 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 changes to 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 The z static A decrease in the obtained difference (M - mu) ______ An increase in the sample size (n) _____ A switch from using a one-tailed test to a two-tailed test ______ A decrease in the population standard deviation (sigma) _____ Suppose you fail to reject the null hypothesis. Then, the results of your study are not significant significant.

Explanation / Answer

Answer:

A decrease in the obtained difference (m-µ)   decrease

An increase in the sample size(n)       increase

A switch from using one tailed test to two tailed test   stays the same

A decrease in the population standard deviation    increase

Fail to reject the null hypothesis, the results of the study are not significant.

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