The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals for six different teams in each division. Eastern Western 9 9 3 8 4 7 3 6 4 5 4 3 Does the data show there is a difference in the annual goals for the eastern and western divisions? Test the claim at the 0.05 significance level. a) The null and alternative hypothesis would be: Ho PE Pw H : PE HO: PE=Pw H: PE + PW Ho: E=W : 7 HoE=w : < Ho PE Pw H PE > PW b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and round to 4 decimals. p =