Question

Find the p-value for the following hypothesis test.

H0: μ=23,⁢  H1: μ≠23,  n=64,  x¯=21.00,  σ=6.4

Round your answer to four decimal places.

p=

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   =23

Ha : 23

Test statistic = z

= ( - ) / / n

= (21-23) / 6.4/ 64

Test statistic = -2.5

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

P-value = 2*0.0062=0.0124