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 .

Short answer

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

Step-by-step solution

Given information

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

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$\alpha =0.01$