Question

Match the best equation to the calculated p values. Make the decision to reject or not reject. Think about the difference between lower/upper one tail and two tail calculations for p values.

a. one tail upper test z test statistic =1.89 and a=0.08

b. one tail lower test z test statistic =-2.65 and a=0.02

c. one tail lower test z test statistic =1.89 and a=0.01

d. two tail test z test statistic =1.8  and a=0.1

e. two tail test z test statistic =-1.8  and a=0.01

Answer 1

Solution:

P-value = P(Z > Z )

= 1 - P(Z < 1.89 )

= 1 - 0.9706

= 0.0294

The p-value is p = 0.0294, and since p = 0.0294 < 0.08, it is concluded that the null hypothesis is rejected.

b)

P-value = P(Z < -2.65 )

= 0.0040

The p-value is p = 0.0040, and since p = 0.0040 < 0.02, it is concluded that the null hypothesis is rejected.

c)

P-value = P(Z < 1.89)

= 0.9706

The p-value is p = 0.9706, and since p = 0.9706 > 0.01, it is concluded that do not reject the null hypothesis.

d)

P_value = 2 * P(Z > z )

= 2 * (1- P(Z < 1.8 ))

= 2 * 0.0359

= 0.0718

The p-value is p = 0.0718, and since p = 0.0718 < 0.1, it is concluded that reject the null hypothesis.

e)

P-value = 2 * P(Z < -1.8 )

= 2 * 0.0359

   = 0.0718

The p-value is p = 0.0718, and since p = 0.0718 > 0.01, it is concluded that do not reject the null hypothesis.