9. NFL Pre-SeasonTeams in the National Football League (NFL) in the US play four pre-season games each year before the regular season starts. Do teams that do well in the pre-season tend to also do well in the regular season? We are interested in whether there is a positive linear association between the number of wins in the pre-season and the number of wins in the regular season for teams in the NFL. (a) What are the null and alternative hypotheses for this test? (b) The correlation between these two variables for the 32 NFL teams over the 10 year period from 2005 to 2014 was 0.067. Use this sample (with n=320) to calculate the appropriate test statistic and determine the p-value for the test. Round your answers to two decimal places. (c) State the conclusion in context, using a 5% significance level. Options below: 1. Do not reject H0. We find evidence that there is not a positive linear association between wins in the pre-season and wins in the regular season. 2. Do not reject H0. We do find evidence of a positive linear association between wins in the pre-season and wins in the regular season. 3. Reject H0. We do find evidence of a positive linear association between wins in the pre-season and wins in the regular season. 4. Reject H0. We do not find evidence of a positive linear association between wins in the pre-season and wins in the regular season. 5. Do not reject H0. We do not find evidence of a positive linear association between wins in the pre-season and wins in the regular season.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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9. NFL Pre-Season

Teams in the National Football League (NFL) in the US play four pre-season games each year before the regular season starts. Do teams that do well in the pre-season tend to also do well in the regular season? We are interested in whether there is a positive linear association between the number of wins in the pre-season and the number of wins in the regular season for teams in the NFL.

(a) What are the null and alternative hypotheses for this test?

(b) The correlation between these two variables for the 32 NFL teams over the 10 year period from 2005 to 2014 was 0.067. Use this sample (with n=320) to calculate the appropriate test statistic and determine the p-value for the test. Round your answers to two decimal places.

1. Do not reject H0. We find evidence that there is not a positive linear association between wins in the pre-season and wins in the regular season.

2. Do not reject H0. We do find evidence of a positive linear association between wins in the pre-season and wins in the regular season.

3. Reject H0. We do find evidence of a positive linear association between wins in the pre-season and wins in the regular season.

4. Reject H0. We do not find evidence of a positive linear association between wins in the pre-season and wins in the regular season.

5. Do not reject H0. We do not find evidence of a positive linear association between wins in the pre-season and wins in the regular season.

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