Question

Calculate the​ p-value for the following conditions and determine whether or not to reject the null hypothesis.

​a)​ one-tail test, zx =1.70, and α =0.10	​b)​ one-tail test, z = negative −2.45​ and α = 0.02
​c)​ two-tail test, zx = 2.4​0, and α= .10	​d)​ two-tail test, zx = −1.24​, and α = 0.05

Answer 1

​a)​ one-tail test,

zx =1.70, and α =0.10

P-value = P(Z > 1.70) = 1 - P(Z < 1.70) = 1 - 0.9554 = 0.0446

( From z table)

P-value < 0.10 we reject null hypothesis.

​b)​ one-tail test,

z = negative −2.45​ and α = 0.02

P-value = P(Z < - 2.45) = 0.0071

( From z table)

P-value < 0.02 we reject null hypothesis.

​c)​ two-tail test,

zx = 2.4​0, and α= .10

P-value = 2*P(Z > 2.40) = 0.0164

( From z table)

P-value < 0.10 we reject null hypothesis.

d)​ two-tail test,

zx = −1.24​, and α = 0.05

P-value = 2*P(Z < - 1.24) = 2*0.1075 = 0.2150

( From z table)

P-value > 0.05 we fail to reject null hypothesis.