Question

There were 2430 Major League Baseball games played in 2009, and the home team won the game in 53% of the games. If we consider the games played in 2009 as a sample of all MLB games, test to see if there is evidence, at the 5% significance level, that the home team wins more than half (50%) of the games.

a. Write the null and alternative hypotheses

b. Check the Central Limit Theorem

c. Set up your sampling distribution of proportions and calculate the test statistic

d. Find the p-value

e. Write your conclusion to the hypothesis test

Answer #1

1. A Gallup poll asked 1200 randomly chosen
adults what they think the ideal number of children for a family
is. Of this sample, 53% stated that they thought 2 children is the
ideal number. Construct and interpret a 95% confidence interval for
the proportion of all US adults that think 2 children is the ideal
number.
2. There were 2430 Major League Baseball games
played in 2009, and the home team won the game in 53% of the games....

Is the number of games won by a major league baseball team in a
season related to the team batting average? The table below shows
the number of games won and the batting average (in thousandths) of
8 teams.
Team
Games Won
Batting Average
1
119
279
2
64
266
3
120
288
4
96
268
5
67
282
6
118
288
7
61
263
8
94
271
Using Games Won as the explanatory variable, x, find the following
rounded...

Is the number of games won by a major league baseball team in a
season related to the team batting average? The table below shows
the number of games won and the batting average (in thousandths) of
8 teams. Team Games Won Batting Average 1 120 289 2 72 286 3 96 277
4 108 272 5 77 259 6 105 285 7 90 263 8 78 290 Using games won as
the explanatory variable ? and compute the correlation...

11. A baseball team is known to win 75% of their games, and the
team wins 90% of their home games. 50% of the teamís games are at
home.
a. Given the team won their next game, what is the probability
that it was a home game?
b. Given the team lost their next game, what is the probability
it was a road game?

When games were sampled throughout a season, it was found that
the home team won 116 of 153 baseball games, and the home team won
59 of 66 hockey games. The result from testing the claim of equal
proportions are shown on the right. Does there appear to be a
significant difference between the proportions of home wins? What
do you conclude about the home field advantage? 2-proportion test
p 1 not equals p 2 z equals negative 2.30089323 p...

Consider a sample of 53 football games, where 32 of them were
won by the home team. Use a 0.10 significance level to test the
claim that the probability that the home team wins is greater than
one-half.

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?

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?

Major League Baseball considers the option of one team being the
home team for an entire series. The World Series consists of up to
seven games. The first team to win four games wins the series.
Records over the past century show that there is a home field
advantage; the home team has about a 55% chance of winning. How
often will the team that begins at home win the series? Remember to
assume that one team is always at...

In the 2014 regular baseball season, the National League
Champion Los Angeles Dodgers played 81 games at home and 81 games
away. They won 45 of their home games and 49 of the games played
away. We can consider these games as samples from potentially large
populations of games played at home and away. Most people think
that it is easier to win at home than away. Perform a significance
test to determine whether this is true.
Alpha = .05...

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