4.198 Testing for a Home Field Advantage in Soccer In Exercise 3.141 on page 275, we see that the home team was victorious in 70 games out of a sample of 120 games in the FA premier league, a football (soccer) league in Great Britain. We wish to investigate the proportion p of all games won by the home team in this league.

a. Use StatKey or other technology to find and interpret a 90% confidence interval for the proportion of games won by the home team. b. State the null and alternative hypotheses for a test to see if there is evidence that the proportion is different from 0.5. c. Use the confidence interval from part (a) to make a conclusion in the test from part (b). State the confidence level used. d. Use StatKey or other technology to create a randomization distribution and find the p-value for the test in part (b). e. Clearly interpret the result of the test using the p-value and using a 10% significance level. Does your answer match your answer from part (c)? f. What information does the confidence interval give that the p-value doesn't? What information does the p-value give that the confidence interval doesn't? g. What's the main difference between the bootstrap distribution of part (a) and the randomization distribution of part (d)?

4.198 Testing for a Home Field Advantage in Soccer In Exercise 3._14; on page 275, we see that the home team was victorious in 70 games out of a sample of 120 games in the FA premier league, a football (soccer) league in Great Britain. We wish to investigate the proportion p of all games won by the home team in this league. a. Use My, or other technology to nd and interpret a 90% condence interval for the proportion of games won by the home team. b. State the null and alternative hypotheses for a test to see if there is evidence that the proportion is different from 0.5. c. Use the condence interval from part (a) to make a conclusion in the test from part (b). State the condence level used. d. Use My or other technology to create a randomization distribution and nd the p-value for the test in part (b). e. Clearly interpret the result of the test using the pvalue and using a 10% signicance level. Does your answer match your answer from part (c)? f. What information does the condence interval give that the pvalue doesn't? What information does the pvalue give that the condence interval doesn't? g. What's the main difference between the bootstrap distribution of part (a) and the randomization distribution of part (d)