Starting from 1903, the world series championship has been played 115 times, and the AL champions won it 66 times, and the NL champions won it 49 times. Based on this data, carry out the following tests of hypothesis: (a) Ho : p = 1/2 versus H1 : p > 1/2 at level a = .1. (b) Họ : p = 1/2 versus H1 : p# 1/2 at level a = .1.

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Chapter1: Combinatorial Analysis
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Suppose you are a fan of baseball, which has two different leagues in the US, the National
League and the American League. The winners of both the leagues play in the World Series
Championship each year. You want to test whether both the leagues are equally strong, or
whether one of the leagues is stronger than the other. Assume that each year the AL champion
wins the world series with probability p, and the NL champions win with probability 1 – p,
where p is an unknown number in (0, 1).
Starting from 1903, the world series championship has been played 115 times, and the AL
champions won it 66 times, and the NL champions won it 49 times. Based on this data, carry
out the following tests of hypothesis:
(a) Ho : p = 1/2 versus H1 : p > 1/2 at level a = .1.
(b) Ho : p = 1/2 versus H1 : p 1/2 at level a = .1.
Transcribed Image Text:Suppose you are a fan of baseball, which has two different leagues in the US, the National League and the American League. The winners of both the leagues play in the World Series Championship each year. You want to test whether both the leagues are equally strong, or whether one of the leagues is stronger than the other. Assume that each year the AL champion wins the world series with probability p, and the NL champions win with probability 1 – p, where p is an unknown number in (0, 1). Starting from 1903, the world series championship has been played 115 times, and the AL champions won it 66 times, and the NL champions won it 49 times. Based on this data, carry out the following tests of hypothesis: (a) Ho : p = 1/2 versus H1 : p > 1/2 at level a = .1. (b) Ho : p = 1/2 versus H1 : p 1/2 at level a = .1.
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