Consider a sample of 52 football games, where 31 of them were won by the home...
Consider a sample of 52 football games, where 31 of them were won by the home team. Use a 0.01 significance level to test the claim that the probibility that the home team wins is greater than one-half.
Identify the null alternative hypothesis to this test?
Identify the test statistic for this hypothesis test?
The test statistice for this hypothesis test is?
the P-Value for this hypothesis test is?
Identify the conclusiion for this hypothesis test?
Homework Answers
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.5
Alternative Hypothesis, Ha: p > 0.5
single proportion z test
Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.5962 - 0.5)/sqrt(0.5*(1-0.5)/52)
z = 1.39
P-value Approach
P-value = 0.0823
As P-value >= 0.01, fail to reject null hypothesis.
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