Question

Does home field advantage play a large role in one sport over
another? Winning team data were collected for teams in different
sports. Use a .10 significance level to test the claim that
home/visitor wins are independent of the sport.

Observed values: Basketball Baseball Hockey Football

Home team wins 127 53 50 57

Visiting team wins 71 47 43 42

1)Write the claim and opposite in symbolic form next to HO and
H1.

2)Draw a Chi-square curve, Find the critical value and shade the
critical region

3)Find the test statistic and its p-value

4)Write the final conclusion

Ho:

H1:

Critical Value:

Test Statistic:

P-Value:

Conclusion:

Answer #1

Winning team data were collected for teams in different sports,
with the results given in the table
Baseball
Hockey
Football
Total
Home team wins
53
50
57
160
Visiting team wins
47
43
42
132
Total
100
93
99
292
Use a 0.05 level of significance to test the claim that
home/visitor wins are independent of
the sport. Given that the critical value of c2 for 2
d.f. = 5.991.
Solution:

Winning team data were collected for teams in
different sports, with the results given in the table below. Use
the TI-83/84 Plus results at a
0.05
level of significance to test the claim that home/visitor wins are
independent of the sport.
TI-83/84 PLUS
chi squared minus Testχ2−Test
chi squared equals 6.139318764χ2
Upper P equals 0.1050253349P
df equals 3
BasketballBasketball
Baseball
Hockey
Football
Home team winsHome team wins
144144
6464
5454
7575
Visiting team winsVisiting team wins
7070
5353
4040
4343...

2. Consider a sample of 46 football games, where 27 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.
Choose the correct answer below.
A.
H0:
p=0.5
H1:
p>0.5
B.
H0:
p>0.5
H1:
p=0.5
C.
H0:
p=0.5
H1:
p≠0.5
D.
H0:
p=0.5
H1:
p<
___________________________________
Identify the test statistic for...

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...

Consider a sample of 51 football games, where 28 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. Identify the null and alternative hypotheses for this
test.
Choose the correct answer below.
A. Upper H 0: pequals0.5 Upper H 1: pgreater than0.5
B. Upper H 0: pequals0.5 Upper H 1: pnot equals0.5
C. Upper H 0: pgreater than0.5 Upper H...

Consider a sample of 51 football games, where 30 of them were
won by the home team. Use a 0.05 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. Choose the correct answer below.
A. Upper H 0: pequals0.5 Upper H 1: pgreater than0.5
B. Upper H 0: pequals0.5 Upper H 1: pless than0.5
C. Upper H 0: pequals0.5 Upper H 1:...

Consider a sample of 52 football games, where 31 of them were
won by the home team. Use a 0.05 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. Choose the correct answer below. A. Upper H 0: pequals0.5
Upper H 1: pgreater than0.5 B. Upper H 0: pequals0.5 Upper H 1:
pnot equals0.5 C. Upper H 0: pequals0.5 Upper H 1:...

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...

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...

When games were sampled from throughout a 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.
At the 5% level of significance, does this indicate that there is a
significant difference between the proportion of home games won by
the two sports?
(1) List all the information necessary for conducting
the hypothesis test and state which
test you are doing.
(2) State the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 21 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago