The Mars Candy Company makes many claims about their m&m's. For instance, in 2018 they claimed the following distribution for the colors of m&m's:

3. The Mars Candy Company makes many claims about their mom's. For instance, in 2018 they claimed the following distribution for the colors of mom's Color Probability Blue 0.24 Orange 0.20 Green 0.16 Yellow 0.14 Red 0.13 Brown 0.13 In class we had a bag of the sharing size of mom's with the following breakdown of colors: Color Observed Blue 131 Orange 124 Green 90 Yellow 85 Re 65 Brown 72 Test to determine if our sample is a good fit for the distribution that Mars claims. Use a 5% level of significance. (a) State the null (Ho) and alternate (HA) hypotheses (b) Calculate the expected cell counts and fill them in the table below (using your calculator is recommended!) Color Expected Blue Orange Green Yellow Re Brown (c) Check the assumptions and conditions (d) Give the test statistic. (e) Give the P-value and the conclusion reached about the null hypothesis based on the P-value. (f) Summarize the final conclusion in the context of the claim