Statistics Ch. 8

Question

Assume that the significance level is alpha=.01 Use the given information to find the​ P-value and the critical​ value(s). The test statistic of z=1.42 is obtained when testing the claim that p>.05 .

Answer 1

Let's use the z-score table from the normal distribution.

P(z > 1.42) = 0.9222 > 0.01

The critical value for z-test is 2.33 since we are using the 1% level of significance. Because the p-value is greater than α = 0.01, we fail to reject the null hypothesis.