Question 292053: The following hypotheses are given.
H0: p = 0.40
H1: p ≠ 0.40
A sample of 120 observations revealed that p = 0.30 At the 0.05 significance level, can the null hypothesis be rejected?
a. State the decision rule.
b. Compute the value of the test statistic.
c. What is your decision regarding the null hypothesis?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The following hypotheses are given.
H0: p = 0.40
H1: p ≠ 0.40
A sample of 120 observations revealed that p = 0.30 At the 0.05 significance level, can the null hypothesis be rejected?
a. State the decision rule.
If z > 1.96 or less than -1.96, reject Ho.
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b. Compute the value of the test statistic.
z(0.30) = (0.30-0.40)/sqrt[0.4*0.6/120] = -2.2361
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c. What is your decision regarding the null hypothesis?
Since the test stat is in the reject interval, reject Ho.
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Cheers,
Stan H.
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