Question

A researcher is testing a hypothesis of a single mean. The critical z value for = .05 and a one tailed test is 1.645. The observed z value from sample data is 1.13. The decision made by the researcher based on this information is to ______ the null hypothesis.

Answer 1

Answer: Fail to reject the null hypothesis

Explanation:

If we reject the null hypothesis we are saying that the difference between the observed sample mean and the

hypothesized population mean is too great to be attributed to chance. When we fail to reject the null hypothesis, we

are saying that the difference between the observed sample mean and the hypothesized population mean is probable

if the null hypothesis is true. Essentially, we are willing to attribute this difference to sampling error.