During the 2010 MLB seasons, the home team won 1,359 games and the away team won 1,071 games. What is the test statistic to compare the observed data versus a 50/50 outcome?
ANSWER::
null Hypothesis: Ho: p= | 0.500 |
alternate Hypothesis: Ha: p ≠ | 0.500 |
sample success x = | 1359 | |
sample size n =1359+1071 = | 2430 | |
std error σp =√(p*(1-p)/n) = | 0.0101 | |
sample proportion p̂ = x/n=1359/2430= | 0.5593 | |
test statistic z =(p̂-p)/σp=(0.559-0.5)/0.559= | 5.84 |
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