acmillan 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 eats 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 Observed Fruits 53 k Vegetables Candy 61 86 P Test proportion 0 333 0 333 0 333 Expected 66 667 66 667 66 667 Contribution to chi square 2 802 0 482 5 606 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 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 Because P a there is insufficient evidence against Sora s claim Because P a there is significant evidence against Sora s claim