Question

Calculate the​ p-value for the following conditions and determine whether or not to reject the null hypothesis. ​a)​ one-tail (upper)​ test, z Subscript pequals2.12​, and alphaequals0.10 ​b)​ one-tail (lower)​ test, z Subscript pequalsnegative 1.32​, and alphaequals0.05 ​c)​ two-tail test, z Subscript pequalsnegative 1.56​, and alphaequals0.05 ​d)​ two-tail test, z Subscript pequals2.37​, and alphaequals0.02

Answer 1

a) reject the null hypothesis

b) not reject the null hypothesis

c) not reject the null hypothesis

d) reject the null hypothesis

Explanation:

a)​ one-tail (upper)​ test, z Subscript p equals 2.12​, and alpha equals 0.10

Since p(z)=0.017 < 0.10, the result is significant.

​b)​ one-tail (lower)​ test, z Subscript p equals negative 1.32​, and alpha equals 0.05 ​

Since p(z)=0.093> 0.05 the result is not significant.

c)​ two-tail test, z Subscript p equals negative 1.56​, and alpha equals 0.05 ​

Since p(z)=0.119>0.05 the result is not significant.

d)​ two-tail test, z Subscript p equals 2.37​, and alpha equals 0.02

Since p(z)= 0.018<0.02 the result is significant.