Q. 59 - The Practice of Statistics for AP

Question

The z statistic for a test of H0 :p = 0.4 versus Ha : p > 0.4 is z = 2.43. This test is

(a) not significant at either  $\alpha =0.05$ or $\alpha =0.01$.

(b) significant at $\alpha =0.05$ but not at $\alpha =0.01$

(c) significant at $\alpha =0.01$but not at $\alpha =0.05$.

(d) significant at both $\alpha =0.05$and $\alpha =0.01$.

(e) inconclusive because we don’t know the value of ˆp .

Step-by-Step Solution

Answer

(d) significant at both $\alpha =0.05$ and $\alpha =0.01$.

Step 1: Given information

The z statistic for a test of H0 :p = 0.4 versus Ha : p > 0.4 is z = 2.43. 

Step 2: Explanation

H0: p=0.4. The claim tested by a significance test.

Ha: p>0.4 can be greater than/less than to the parameter. The claim about the population we're trying to find evidence for mean.

Estimating Z value and the significant test is performed at both $\alpha =0.05$ and $\alpha =0.01$