In: Statistics and Probability
For each problem test the significance the Spearman Rank Correlation Coefficient. Show your calculation of the test statistic rs. Please show work so i understand how to do it! Exercise 1. Defense and wins. The data in the table below shows the wining percentage and the yards per game allowed in the 2014-15 season for a random sampling of teams. At α = 0.05, can you support the claim that there is a correlation between the winning percentage and the yards allowed? Team Winning percentage Total yards Baltimore Ravens 0.625 336.9 Cleveland Browns 0.438 366.1 Denver Broncos 0.750 305.2 Jacksonville Jaguars 0.188 370.8 New England Patriots 0.750 344.1 Oakland Raiders 0.188 357.6 Pittsburgh Steelers 0.688 353.4
p=0.10 (90% statistical significance level)
There appears to be a strong negative correlation Rs value (-0.8).
There is a 10% probability that your null hypothesis is correct p=0.10 (90% statistical significance level). So you must accept the null hypothesis that there is no correlation.