Question

Find the p-value for the following hypothesis test.

H0: μ=24,  H1: μ<24,  n=64,  x¯=23.00,  σ=6.4

Round your answer to four decimal places.

p=

Answer 1

solution:

this is the left  tailed test .  

The null and alternative hypothesis is ,

H0 :   = 24

Ha : < 24

Test statistic = z

= ( - ) / / n

= (23-24) / 6.4/ 64

z = -1.25

P(z < -1.25 ) = 0.1056 using z table

P-value = 0.1056