Question

The test statistic of z = -3.36 is obtained when testing the claim that p < 0.31.a. Using a significance level of α = 0.01​, find the critical​ value(s). b. Should we reject H0 or should we fail to reject H0?​

Answer 1

Answer:

We can reject the null hypothesis. There is significant evidence that p<0.31 at α = 0.01

Step-by-step explanation:

To test the the claim p < 0.31, null and alternative hypotheses are:

$H_{0}$: p=0.31

$H_{a}$: p<0.31

For α = 0.01, one tailed test critical value is -2.33

For z=-3.36 , p value is ≈ 0.0004

Since p-value<significance level (0.0004<0.01), we can reject the null hypothesis. There is significant evidence that p<0.31 at α = 0.01