Question

Find the p-value for the following hypothesis test. H0: μ=20,⁢ H1: μ≠20, n=64, x¯=19.00, σ=5.6 Round your answer to four decimal places.

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   =20

Ha : 20

Test statistic = z

= ( - ) / / n

= (19-20) / 5.6/ 64

Test statistic = -1.43

P(z <-1.43 ) = 0.0764

P-value = 2*0.0764=0.1528