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 ) (b) for ( t = 1.404 ), should you reject or fail to reject the null hypothesis?

Explanation:

Step1: Identify the rejection region

The critical values are \(t_{0}=- 1.456\) and \(t_{0}=1.456\). We reject the null hypothesis \(H_{0}\) if \(t < - 1.456\) or \(t>1.456\).

Step2: Analyze each \(t\) - value

• For \(t = 1.404\):

Since \(-1.456<1.404<1.456\), the \(t\) - value does not fall in the rejection region.

Answer:

D. Fail to reject \(H_{0}\), because \(-1.456 < t<1.456\)