MAT 2180 Worksheet 10.3

MAT 2180 Worksheet 10.3 22 Tests of Independence Is there a Gender Gap when it comes to Ice-cream? In this example, we seek to determine whether there is an association between gender and preference for ice cream avor. A survey of 920 people asked for their preference of 1 of the 3 ice cream avors. Run a test of independence and interpret the results. Flavor l Gender I Vanilla ' Chocolate ' Strawberry I Men I 100 120 60 I Women | 350 l 200 l 90 a) What are the two variables being studied? Set up H D & H"I for Test of Independence. b) Are the conditions met for a Chi-Square test? Why? 0) Run a Chi-Square test of Independence at alpha = .05 using the Test Statistic I Critical value (showing all your work) then verify the result using the Excel or calculator's p-value. d) What is your conclusion? e) Give a condence interval that estimates the percentage of people that prefer vanilla ice cream