Question

10. Assume that the significance level is α=0.05. Use the given statement and find the​ P-value and critical​ value(s).The test statistic of z= −1.85 is obtained when testing the claim that p=1/5.

P-values= ___

(Round to four decimal places as​ needed.)

The critical​ value(s) is/are z=_____

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

11. Assume that the significance level is α=0.01. Use the given information to find the​ P-value and the critical​ value(s).

With H1: p≠23​, the test statistic is z=−1.14.

​P-values=____

(Round to four decimal places as​ needed.)

Answer 1

10)

p-value = 2 * P(Z < z) ( 2 is multiplied to probability since this is two tailed test)

= 2 * P( Z < -1.85)

= 2 * ( 1 - P (Z < 1.85) )

= 2 * ( 1 - 0.9678) (Probability calculated from Z table)  

= 0.0644

Z critical values are -1.96 , 1.96

11)

p-value = 2 * P(Z < z) ( 2 is multiplied to probability since this is two tailed test)

= 2 * P( Z < -1.14)

= 2 * ( 1 - P (Z < 1.14) )

= 2 * ( 1 - 0.8729) (Probability calculated from Z table)  

= 0.2572

Z critical values are -2.58, 2.58