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

Answer 1

Answer:

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Step-by-step explanation:

Given the data in the question;

Null hypothesis H₀ : p = 0.262

Alternative Hypothesis H₁ : p > 0.262.

p" = 0.357

q = 1 - p = 1 - 0.262 = 0.738

n = 98

so;

z = (p" - p) / √(pq/n)

we substitute

z = (0.357 - 0.262) / √((0.262×0.738) / 98)

z = 0.095 / 0.04441869

z = 2.1387

at 5% CONFIDENCE INTERVAL

z-critical = 1.645

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.