Question

state whether the standardized test statistic t indicates that you should reject the null hypothesis. explain. (a) t = - 1.471 (b) t = 1.404 (c) t = 1.533 (d) t = - 1.471 (c) for t = 1.533, should you reject or fail to reject the null hypothesis?

Explanation:

Step1: Determine the rejection region

The critical values are \(t_{0}=- 1.456\) and \(t_{0}=1.456\). The rejection regions are \(t < - 1.456\) or \(t>1.456\).

Step2: Analyze \(t = 1.533\)

Since \(1.533>1.456\), the test statistic \(t = 1.533\) falls in the rejection region.

Answer:

D. Reject \(H_{0}\), because \(t>1.456\)