Question

- 60% of all the games were
*at-home*games. Denote this by*H*(the remaining were*away*games). - 25% of all games were
*wins*. Denote this by*W*(the remaining were*losses*). - 20% of all games were
*at-home wins.*

If the team won a game, how likely is it that this was a home game? (Note: Some answers are rounded to 2 decimal places.)

.05

.12

.15

.33

.80

Let A and B be two independent events. If P(A) = .5, what can you say about P(A | B)?

Cannot find it since P(B) is not known.

Cannot find it since P(A and B) is not known.

Cannot find it since both P(B) and P(A and B) are not known.

It is equal to .5.

It is equal to .25.

Answer #1

Suppose a basketball team had a season of games with the
following characteristics:
Of all the games, 60% were at-home games. Denote this
by H (the remaining were away games).
Of all the games, 25% were wins. Denote this by
W (the remaining were losses).
Of all the games, 20% were at-home wins.
Of the at-home games, what proportion of games were wins? (Note:
Some answers are rounded to two decimal places.)
A 0.12
B 0.15
C 0.20
D 0.33...

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...

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 51 football games, where 33 of them were
won by the home team. Use a 0.01 significance level to test the
claim that the probability that the home team wins is greater than
one-half.
Identify the null and alternative hypotheses for this test.
Identify the P-value for this hypothesis test.

Consider a sample of 45 football games where 33 of
them were won by the home team. use a 0.01 significance level
to test the claim that the probability that the home team wins is
greater than 1/2.

When games were sampled throughout a? season, it was found that
the home team won 113 of 164 field hockey ?games, and the home team
won 53 of 92 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 1.81592721 p...

Consider a sample of 55 football games, where 32 of them were
won by the home team. Use a 0.01 significance level to test the
claim that the probability that the home team wins is greater than
one-half.
a) The test statistic for this hypothesis test is
b)The P-value for this hypothesis test is

When games were randomly sampled throughout the season, it was
found that the home team won 127 of 198 professional basketball
games, and the home team won 57 of 99 professional football
games.
a) Find a 95% confidence interval for the difference in the
population proportions of home wins. Include the sample
proportions, LaTeX: z_{\frac{\alpha}{2}}z α 2and standard error. b)
Based on your results in part a) do you think there is a
significant difference? Justify your answer; explain.

When games were randomly sampled throughout the season, it was
found that the home team won 127 of 198 professional basketball
games, and the home team won 57 of 99 professional football
games.
a) Find a 95% confidence interval for the difference in the
population proportions of home wins. Include the sample
proportions, LaTeX: z_{\frac{\alpha}{2}}z α 2and standard
error.
b) Based on your results in part a) do you think there is a
significant difference? Justify your answer; explain.

Before 2012, National Football League (NFL) football games that
were tied at the end of regulation time continued after a coin
toss. The team that won the coin toss could choose to receive the
ball ir kick the ball. A whopping 98.1% of teams that won the coin
toss chose to receive the ball. Between 1974 and 2011, there were
460 overtime games that did not end in a tie. Among those 460 games
that decided were in overtime, 252...

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