Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
Upper H 0H0:
Upper H 1H1:
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Calculate the test statistic,
(Round to two decimal places as needed.)
From given data,
Test the hypothesis using the P-value approach.
H0 : p = 0.4
H1 : p > 0.4
n = 125
x = 60
Sample proportion = x / n
= 60 / 125
z0 = - p /
= 0.48 - 0.4 /
= 0.08 / 0.0438178
= 1.82 (Round to two decimal places as needed.)
This is test statistics value.
p-value for right tailed test is
p = P( Z > z0)
= P( Z > 1.82)
= 1 - P( Z < 1.82)
= 1 - 0.9656
Since p-value > 0.01 level, we do not have sufficient evidence to reject H0.
We conclude that,
Do not reject the null hypothesis because p-value is greater than α .
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