A sample of n = 41 produces a t statistic of t = - 2.05. If the researcher is us

Question

A sample of n = 41 produces a t statistic of t = - 2.05. If the researcher is using a two-tailed test for hypotheses testing, which of the following is the correct statistical decision?

A. The researcher must fail to reject the null hypothesis with either = .05 or = .01. B. It is impossible to make a decision about H0 without more information. C. The researcher can reject the null hypothesis with = .05 but not with = .01. D. The researcher can reject the null hypothesis with either = .05 or = .01.

Explanation / Answer

for two tailed test and n-1=40 degree of freedom, and for above stat p value =0.047

hence  C. The researcher can reject the null hypothesis with = .05 but not with = .01.

option C is correct

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