4) (9 points) A random sample of 50 male and 50 female students were selected for market research on chocolate bars. There were three types of chocolate bars, plain chocolate, chocolate with peanuts and chocolate with caramel. Each selected student tried a sample of each chocolate bar and selected the one they like best. We wish to test the hypothesis that chocolate bar preference is independent of gender. (a) (6 points) Under Ho, fill in the rest of the observed and expected frequency tables Observed Male Female Total Expected Male Female Total Plain 12 Plain 12 Peanut Peanuts 18 Carame 24 40 Caramel 20 40 Total 50 50 100 Total 50 50 100 (b) (3 points) Using the fact that the observed value of the test statistic is Aobs = 3.4 (you do not need to show this), test the hypothesis that favourite chocolate bar type is independent of gender. Provide a range for the p-value and a conclusion in the context of the