Question

When games were randomly sampled throughout the season, it was found that the home team won...

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.

Homework Answers

Answer #1

(a)

(b) Since the confidence interval contains 0, there is insufficient evidence to conclude that there is a significant difference between them.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
When games were randomly sampled throughout the season, it was found that the home team won...
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 from throughout a season, it was found that the home team won...
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...
When games were sampled throughout a​ season, it was found that the home team won 116...
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...
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...
There were 2430 Major League Baseball games played in 2009, and the home team won the...
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...
During the first 15 weeks of the 2016 seasons, the home team won 137 of the...
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 53 football​ games, where 32 of them were won by the home...
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.
Consider a sample of 45 football games where 33 of them were won by the home...
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.
Consider a sample of 48 football​ games, where 26 of them were won by the home...
Consider a sample of 48 football​ games, where 26 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.
Consider a sample of 52 football​ games, where 32 of them were won by the home...
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.