Question 268263: In a recent year, some professional baseball players complained that umpires were calling more strikes than the average rate of 61.0% called the previous year. At one point in the season, umpire Dan Morrison called strikes in 2231 of 3581 pitches.
This is a hypothesis question. I am really struggling on how to solve these types of questions, if someone can show me step by step how it works with the answer I can do the other 32 questions I have, I just can't seem to get it started.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a recent year, some professional baseball players complained that umpires were calling more strikes than the average rate of 61.0% called the previous year. At one point in the season, umpire Dan Morrison called strikes in 2231 of 3581 pitches.
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Note: There are hundreds of examples of worked statistics problems on
this site.
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Ho: p = 0.61
Ha: p > 0.61
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sample proportion = phat = 2231/3581 = 0.623
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Critical Value for right-tail test with alpha = 5%: 1.645
Test Statistic: z(0.623) = (0.623-0.61)/sqrt(0.61*0.39/3581) = 1.5962
p-value = P(z> 1.5962) = 0.0552
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Conclusion: Since the p-value is greater than 5%, fail to reject Ho.
Probably you should do more testing also as the decision evidence is
weak.
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Cheers,
Stan H.
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