A researcher conducts a hypothesis test to evaluate the effect of a treatment.The hypothesis test produces a z-score of z = 2.37.Assuming that the researcher is using a two-tailed test,what decision should be made?
A)The researcher should reject the null hypothesis with α = .05 but not with α = .01.
B)The researcher should reject the null hypothesis with either α = .05 or α = .01.
C)The researcher should fail to reject H0 with either α = .05 or α = .01.
D)Cannot answer without additional information

Question

Quizplus · Accepted Answer

A z-score of 2.37 corresponds to a p-value of approximately .018. This means that if the null hypothesis is true, there is only a .018 probability of obtaining a z-score this extreme or more extreme in either direction. Since this is less than the chosen level of significance of .05, the researcher should reject the null hypothesis with α = .05. However, since .018 is greater than α = .01, the researcher should not reject the null hypothesis with α = .01. Therefore, the correct decision is to reject the null hypothesis with α = .05 but not with α = .01.

A Researcher Conducts a Hypothesis Test to Evaluate the Effect