Question

**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 null and alternative hypotheses and
whether you would use a right-tailed**

**test, a left-tailed test, or a two-tailed
test.**

**(3) Sketch the critical reason, indicating on the sketch
what the critical value(s) are.**

**(4) Determine the calculated z or t.**

**(6) Decide if you will Reject or Fail to Reject the Null
Hypothesis.**

**(7) Interpret your conclusion in terms of the
problem.**

Answer #1

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.

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 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...

During the first 15 weeks of the 2016 seasons, the home team won
137 of the 238 regular-season National Football League games. Is
this strong evidence of a home field advantage in professional
football? Test an appropriate hypothesis and state your conclusion.
Be sure the appropriate assumptions and conditions are satisfied
before you proceed.

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.

During this past tennis season, the Team A won 177 of 200 games
while the Team B won 117 of 130 games. We’re interested in
determining if Team A is significantly worse than Team B. At a 5%
level of significance, conduct the appropriate hypothesis test.
a. Ho: pA = pB Ha: pA
pB
b. Test statistic: = Round to 2
decimals.
c. p-value = Round to 4 decimals.
d. Interpretation of the p-value: If the null hypothesis
is , then there is a probability...

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

Consider a sample of 52 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. Identify the null and alternative hypotheses for this
test.

Consider a sample of 45 football games, where 29 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 test static for this hypothesis test.
Identify the P-value for this hypothesis test.
Identify conclusion for this hypothesis test.

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