Chi-Square Goodness of Fit test

It's Halloween, and Ralphie has 6 large bags, each filled with a combination of 4 different kinds of candy. Each bag should have an approximately equal amounts of each flavor. But, being a buffalo, Ralphie is not sure that she spread the candy out evenly. She has asked your help to determine whether the proportions of flavors within each bag is the same.

Each bag contains hundreds of pieces of candy, so we can't count them all by hand. Instead, you take a sample of 50 pieces from each bag. The table below displays the counts of each type of candy within each sample of 50 pieces:

| | Candy A | Candy B | Candy C | Candy D | | :--- | :----: | :---: | :---: | ---: | | Bag 1 | 14 | 18 | 11 | 6 | | Bag 2 | 10 | 20 | 12 | 9 | | Bag 3 | 13 | 14 | 15 | 8 | | Bag 4 | 15 | 15 | 10 | 10 | | Bag 5 | 11 | 17 | 13 | 9 | | Bag 6 | 11 | 14 | 14 | 11 |

Part E) After some thinking, Ralphie has changed her mind and believes that the candies actually follow the below proportions:

Pa = 0.25

Pb = 0.35 Pc = 0.25

Pd = 0.15

At a significance level of =0.05, determine if your observed samples agree with Ralphie's newly proposed proportions. Say TRUE if your data does agree with the new proportions, or FALSE if it does not.