SOLUTION: A researcher has boiled her hypothesis test down to the following information. H0:p=0.74 Ha:p<0.74 α=0.1 x=122 n=168 Find the p-value.

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Question 1145405: A researcher has boiled her hypothesis test down to the following information.
H0:p=0.74
Ha:p<0.74

α=0.1
x=122

n=168

Find the p-value.
Answer by rothauserc(4718) About Me  (Show Source):
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P is the population proportion
:
p is the sample proportion
:
H0:P=0.74
Ha:P<0.74
:
p = 122/168 = 0.7261 is approximately 0.73
:
standard deviation of the sample is square root(0.74 * (1-0.74)/168) = 0.0338
:
z-score = (0.73 - 0.74)/0.338 = −0.029
:
probability associated with -0.029 is 0.3859
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The P-value is 0.3859 which is > a = 0.10(significance level), therefore we accept the null hypothesis Ho: P = 0.74
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