How do I find the p-value in
excel?
(a) Ho: π = 0.38 and Ha: π ≠ 0.38
(b) np = 39 is > 5 and n(1 - p) = 55 > 5. Thus the requirement is satisfied.
(c)
Data:
n = 94
p = 0.38
p' = 0.414893617
Hypotheses:
Ho: p = 0.38
Ha: p ≠ 0.38
Decision Rule:
α = 0.1
Lower Critical z- score = -1.6449
Upper Critical z- score = 1.6449
Reject Ho if |z| > 1.6449
Test Statistic:
SE = √{p (1 - p)/n} = √(0.38 * (1 - 0.38)/94) = 0.0501
z = (p'- p)/SE = (0.414893617021277 - 0.38)/0.0500637890967454 = 0.6970
p- value = 0.486
Decision (in terms of the hypotheses):
Since 0.6970 < 1.6449 we fail to reject Ho
Conclusion (in terms of the problem):
There is no sufficient evidence that 38% rate quoted in the journal is not valid.
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