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=???
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
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