A sample has a mean of M = 39.5 and a standard deviation of s=4.3. In a two-tailed hypothesis test with a = .05, this sample produces a t statistic of t= 2.14. Based on this information, what is the correct statistical decision? O The researcher can reject the null hypothesis with a = .05 but not with a = .01. O The researcher must fail to reject the null hypothesis with either a = .05 or α = .01. O It is impossible to make a decision about Ho without more information. O The researcher can reject the null hypothesis with either a = .05 or a = .01.

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A sample has a mean of M = 39.5 and a standard deviation of s = 4.3. In a two-tailed hypothesis test with a = .05, this sample produces a t statistic of t = 2.14. Based on this information, what is the correct statistical decision?
O The researcher can reject the null hypothesis with a = .05 but not with α = .01.
O The researcher must fail to reject the null hypothesis with either a = .05 or α = .01.
It is impossible to make a decision about Ho without more information.
O The researcher can reject the null hypothesis with either α = .05 or α = .01.
Transcribed Image Text:A sample has a mean of M = 39.5 and a standard deviation of s = 4.3. In a two-tailed hypothesis test with a = .05, this sample produces a t statistic of t = 2.14. Based on this information, what is the correct statistical decision? O The researcher can reject the null hypothesis with a = .05 but not with α = .01. O The researcher must fail to reject the null hypothesis with either a = .05 or α = .01. It is impossible to make a decision about Ho without more information. O The researcher can reject the null hypothesis with either α = .05 or α = .01.
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