Question

Find the p-value for the following hypothesis test.

H0: μ=19,⁢ H1: μ≠19, n=49, x¯=17.25, σ=5.6

Round your answer to four decimal places.

P=???

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   =19

Ha : 19

Test statistic = z

= ( - ) / / n

= (17.25-19) / 5.6 / 49

Test statistic = -2.19

P(z <-2.19 ) = 0.0143

P-value = 2*0.0143=0.0286