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Question 1: The term home field advantage is used to describe the perceived advantage that teams...

Question 1: The term home field advantage is used to describe the perceived advantage that teams have when they play at their home stadium. Out of 81 games played in the first round of the NHL playoff last season, 49 of them were won by the team which was playing at their home arena. At a 0.05 significance level, test the claim that more than half of hockey playoff games are won by the home team in the following way:

  1. State the null hypothesis: p = 0.5
  2. State the alternative hypothesis p > 0.5
  3. Find the test statistic z = (.605-.500)/(sqrt(.5*.5/81))= 1.89
  4. Find the critical values(s) z_crit = 1.645
  5. Find the p-value .0294
  6. What is your conclusion about the validity of Home Field Advantage as it applies to this study? Reject the null in favor of the alternative. Yes, home field advantage appear to be real.
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