Use the given information to find the P value Also use a 005

Use the given information to find the P- value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).

23) With H1: p < 2/3, the test statistic is z = - 1.89.

A) 0.0294; fail to reject the null hypothesis

B) 0.9706; fail to reject the null hypothesis

C) 0.0588; fail to reject the null hypothesis

D) 0.0294; reject the null hypothesis

Solution

Looking at H1, it is a left tailed test.

Getting the lft tailed area of z = -1.89,

P = 0.02937898

As this is P < 0.05, we REJECT HO.

Thus,

OPTION D: 0.0294; reject the null hypothesis [ANSWER, D]