1. Cardi B thinks that the proportion of fans who prefer the Star Wars Pre-quel trilogy (1), the Original trilogy (2), and the Final trilogy (3) is p1 = 0.2, p2 = 0.7, p3 = 0.1, respectively.

• A poll of n = 503 fans showed the following results:
• ? 60 fans preferred the Prequel Trilogy
• ? 400 fans preferred the Original Trilogy
• ? 44 fans preferred the Final Trilogy (1.5 points)
• Perform a ? 2 goodness of fit test at ? = 0.05 to determine whether Cardi's claim is reasonable or not. State H0 and HA, the value of the test statistic, distribution under H0, p value, and conclusion.

Cardi B thinks that the proportion of fans who prefer the Star Wars Prequel trilogy (1). the Original trilogy {2}, and the Final trilogy {3} is p1 = [1.2, p2 = 0.7, p3 = 0.1. respectively. A poll of n = 503 fans showed the following results: - 50 fans preferred the Prequel nileg'y a 40-0 fans preferred the Original Trilogy . d4 fans preferred the F 11131 Trilogy (1.5 points} Perform a X2 goodness of t test at oz = 0.05 to determine whether Cardi's claim is reasoIL-able or not. State H0 and HA? the value of the test statistic, distribution under Hg, p value, and conclusion