Macmillan Learning Suppose Sora is arguing with her mother, Jane. Jane believes that Sora eats mostly candy and doesn't eat enough fruits and vegetables, but Sora claims that she eats candy, fruits, and vegetables equally often. To test Sora's claim, Jane carefully monitors Sora's eating habits for several weeks. She records the number of times that Sora cats fruits, vegetables, and candy. Jane conducts a chi-square test for goodness-of-fit to test Sora's claim. Jane's results are summarized in the table. Type of food Fruits Observed Test proportion 53 0.333 Expected 66.667 Contribution to chi-square 2.802 Vegetables 61 0.333 66.667 0.482 Candy 86 0.333 66.667 5.606 D Chi-square statistic: 8.8900 Degrees of freedom: 2 What is the P-value for Jane's chi-square test for goodness-of-fit? Round your answer to three decimal places. P= Based on Jane's results and assuming a significance level of a = 0.05, what should Jane conclude about Sora's claim that she eats all three types of food equally often? Because P a, there is insufficient evidence against Sora's claim. Because P> a, there is significant evidence against Sora's claim.