In a test of H0 u100 agaisnt Ha u Does not 100 the sample d

In a test of H₀: u=100 agaisnt H_a: u Does not = 100, the sample data yeilded the test statistic z=2.45.

Find the p-value for the test. Round to 4 decimal places.

Solution

H0: u = 100
H1: u is not equal to 100

test statistic,z = 2.45

Since it is a 2-tailed test, hence
P_value = 2*P(Z>|z|) = 2 * P(Z> 2.45 )
= 2*(1 - P(Z< 2.45 ))
= 2*(1 - 0.9929 )
= 0.0142