In testing H0: µ = 3 versus Ha: µ ¹ 3 when =3.5, s = 2.5, and n = 100, what is the p-value?
a.0.0700
b.0.0228
c.0.0655
d.0.0456
For the given test scenario, we have
H0: µ = 3 versus Ha: µ ≠ 3
This is two tailed test.
Test statistic = Z = (Xbar - µ)/[S/sqrt(n)] = (3.5 – 3)/[2.5/sqrt(100)] = .5/.25 = 2
So, P-value = 0.0456
(by using z-table)
Answer: d.0.0456
[Note: P-value for one tailed test = 0.0456/2 = 0.0228]
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