Question

Find the p-value for the following hypothesis test.

H0: μ=22,  H1: μ<22,  n=100,  x¯=20.75,  σ=8.0

Round your answer to four decimal places.

p=

Answer 1

Solution :

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :   =22

Ha : <22

Test statistic = z

= ( - ) / / n

= (20.75-22) / 8/ 100

Test statistic = -1.56

P(z <-1.56 ) = 0.0594 using z table

P-value = 0.0594