eams in the National Football League (NFL) in the US play four pre-season games each year before the regular season starts. Do eams 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 ssociation between the number of wins in the pre-season and the number of wins in the regular season for teams in the NFL.

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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?
Ho:
t-statistic =
μ
p-value = i
:: I2
vs Ha:!
44
p
H₂
^
P₁
(c) State the conclusion in context, using a 5 % significance level.
p
:: P₁
:: P₂
I
:: P2
r
0
(b) The correlation between these two variables for the 32 NFL teams over the 15 year period from 2005 to 2019 was 0.118. Use
this sample (with n = 480) to calculate the appropriate test statistic and determine the p-value for the test.
Round your answers to two decimal places.
p
x
O Do not reject Ho. We do find evidence of a positive linear association between wins in the pre-season and wins in the
regular season.
O Reject Ho. We do find evidence of a positive linear association between wins in the pre-season and wins in the regular
season.
O Reject Ho. We do not find evidence of a positive linear association between wins in the pre-season and wins in the
regular season.
O Do not reject Ho. We find evidence that there is not a positive linear association between wins in the pre-season and
wins in the regular season.
O Do not reject Ho. We do not find evidence of a positive linear association between wins in the pre-season and wins in
the regular season.
Transcribed Image Text: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? Ho: t-statistic = μ p-value = i :: I2 vs Ha:! 44 p H₂ ^ P₁ (c) State the conclusion in context, using a 5 % significance level. p :: P₁ :: P₂ I :: P2 r 0 (b) The correlation between these two variables for the 32 NFL teams over the 15 year period from 2005 to 2019 was 0.118. Use this sample (with n = 480) to calculate the appropriate test statistic and determine the p-value for the test. Round your answers to two decimal places. p x O Do not reject Ho. We do find evidence of a positive linear association between wins in the pre-season and wins in the regular season. O Reject Ho. We do find evidence of a positive linear association between wins in the pre-season and wins in the regular season. O Reject Ho. We do not find evidence of a positive linear association between wins in the pre-season and wins in the regular season. O Do not reject Ho. We find evidence that there is not a positive linear association between wins in the pre-season and wins in the regular season. O Do not reject Ho. 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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