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

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