Question

A researcher conducts a hypothesis test to evaluate the effect of a treatment. The hypothesis test produces a z-score of z = -2.60. Assuming that the researcher is using a two-tailed test, what is the correct statistical decision?

	Reject the null hypothesis with α = .05 but not with α = .01.
	Reject the null hypothesis with either α = .05 or α = .01.
	Fail to reject the null hypothesis with either α = .05 or α = .01.
	cannot answer without additional information

Answer 1

as we know that critical value for two-tailed test at 0.05 and 0.01 level is -/+1.96 and -/+ 2.58 ,

for test statistic falls in rejection region for both of critical value : therefore:

Reject the null hypothesis with either α = .05 or α = .01.