Question

state whether the standardized test statistic t indicates that you should reject the null hypothesis. explain. (a) ( t = 1.556 ) (b) ( t = 0 ) (c) ( t = 1.492 ) (d) ( t = - 1.567 ) (c) for ( t = 1.492 ), should you reject or fail to reject the null hypothesis?

Explanation:

Step1: Understand the rejection rule

In a one - tailed t - test (right - tailed in this case as the critical region is on the right side), if the test statistic \(t\) is greater than the critical value \(t_{0}\), we reject the null hypothesis \(H_{0}\). If \(t\leq t_{0}\), we fail to reject \(H_{0}\). Here, \(t_{0}=1.528\).

Step2: Compare \(t = 1.492\) with \(t_{0}=1.528\)

We have \(1.492<1.528\).

Answer:

D. Fail to reject \(H_{0}\), because \(t < 1.528\)