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 (a) for t = 1.556, should you reject or fail to reject the null hypothesis? a. reject h₀, because t < 1.528. b. reject h₀, because t > 1.528. c. fail to reject h₀, because t > 1.528. d. fail to reject h₀, because t < 1.528.

Explanation:

Step1: Recall the rejection rule for one - tailed t - test

In a right - tailed t - test, if the calculated t - statistic ($t$) is greater than the critical value ($t_{\alpha}$), we reject the null hypothesis ($H_0$). Here, the critical value $t_{\alpha}=1.528$.

Step2: Compare the given t - statistic with the critical value

We are given $t = 1.556$. Since $1.556>1.528$.

Answer:

B. Reject $H_0$, because $t > 1.528$.