Question

An independent-measures research study uses two samples, each with n = 10 participants. If the data produce an observed t statistic of t = 2.095, which of the following is the correct decision for a two-tailed hypothesis test (α = .05?) a.Reject the null hypothesis b.Reject the null hypothesis c.Fail to reject the null hypothesis d.Cannot answer without additional information

Answer 1

a.Reject the null hypothesis

Step-by-step explanation:

Null Hypothesis is rejected & not rejected as per following rules :

• Rejected, when calculated value of t statistic > the tabulated value of t statistic at the significance level.
• Not rejected, when calculated value of t statistic < the tabulated value of t statistic at the significance level.

At significance level 0.05 two tailed test, implies 0.025 at each tail of the distribution. This corresponds to t statistic tabulated value = 1.96

The calculated value of t statistic = 2.095 [Given]

As t statistic's calculated value 2.095 > t statistic's tabulated value 1.96 The Null Hypothesis is rejected