Montreal Alouettes quarterback Anthony Calvillo has passed for over 6000 yards in the 2004 season, becoming only the third player to do so during the regular season in the Canadian Football League. While discussing this exploit one day, a friend of yours claims that Calvillo's average passing yards per season exceeds 3000. Curious, you collect the data from his 14-year career and find the following:
Year Yards Year Yards
1994 2582 2001 3671
1995 2831 2002 5013
1996 2571 2003 5891
1997 2177 2004 6041
1998 1526 2005 5556
1999 2592 2006 4714
2000 4277 2007 3608
Conduct a complete hypothesis test to determine if Anthony Calvillo's passing performance in a given season does indeed exceed 3000 yards. Conduct this test at the 97.5% confidence level and determine the p-value.