Question

Find the p-value for the following hypothesis test.

H0: μ=24, H1: μ≠24,  n=64,  x¯=22.25,  σ=5.6

Round your answer to four decimal places.

p=

Answer 1

this is the two tailed test .  

The null and alternative hypothesis is ,

H0 :   = 24

Ha :     24

Test statistic = z

= ( - ) / / n

= (22.25-24) / 5.6/ 64

= -2.5

P(z <-2.5 ) = 0.0062 using z table

P-value = 2*0.0062=0.0124

p value = 0.0124