Question

The test statistic of z = −1.67 is obtained when testing the claim that p = 2/3.

a. Using a significance level of α = 0.01, find the critical​ value(s).

b. Should we reject Ho or should we fail to reject Ho​?

a. The critical​ value(s) is/are z =

(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Answer 1

The null and alternate hypothesis are:

H0:

Ha:

a)

Since this is a two-tailed test, the critical values are:

b)

We reject the null hypothesis is the test statistic value is either less than -2.58 or greater than 2.58

Since the test statistic -1.67 does not lie in this region, so we do not have sufficient evidence to reject H0. Thus we fail to reject H0.