Find the p-value for the hypothesis test. A random sample of size 54 is taken. The sample has a mean of 426 and a standard deviation of 82.
H0: µ = 400
Ha: µ > 400
The p-value for the hypothesis test is .
Your answer should be rounded to 4 decimal places.
solution
This is the right tailed test .
The null and alternative hypothesis is ,
H0 :
= 400
Ha :
> 400
Test statistic = z
= (
-
) /
/
n
= (426-400) /52 /
54
= 2.33
P(z >2.33 ) = 1 - P(z < 2.33) = 1 - 0.9901=0.0099
P-value = 0.0099
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