Reggie Jackson, one of the great baseball batters of modern times, was called Mr
ID: 3350860 • Letter: R
Question
Reggie Jackson, one of the great baseball batters of modern times, was called Mr. October by his fans because he seemed to excel in the World Series. During the regular season, Reggie had 2584 hits in 9864 official at bats for a batting average (proportion of hits) of 0.262. During League Championship Series, he had 37 hits in 163 official at bats for a 0.227 batting average. During World Series play, he had 35 hits in 98 official at bats for a batting average of 0.357. Do you think the nickname is justified, based on the data? Explain your reasoning.
Explanation / Answer
Ho: p = 0.262
Ha: p > 0.262
Z = (p^ - p)/sqrt(pq/n)
= (0.357 - 0.262)/sqrt(0.262 * (1-0.262)/98)
= 2.138739
at 5 % confidence interval
z- critical = 1.645
since
2.138 > 1.645
we reject the nul and conclude that nickname is justified, based on the data