The critical value of a two-sided t-test computed from a large sample
A)is 1.64 if the significance level of the test is 5%.
B)cannot be calculated unless you know the degrees of freedom.
C)is 1.96 if the significance level of the test is 5%.
D)is the same as the p-value.

Question

Quizplus · Accepted Answer

The critical value of a two-sided t-test at the 5% significance level for a large sample (df > 30) is 1.96. Therefore, option C is the correct answer. Option A is incorrect because the critical value for a 5% significance level is 1.96, not 1.64. Option B is incorrect because the degrees of freedom are needed to calculate the critical value, but the question specifies that the sample is large, so the degrees of freedom are not a concern. Option D is incorrect because the critical value is not the same as the p-value, which is a probability value that indicates the strength of evidence against the null hypothesis.

The Critical Value of a Two-Sided T-Test Computed from a Large