Can you help check to see if my solution for question 2A about Ho and Ha is correct? And can you also help me with the Chi-Squared and the assumption checks in part 2C, 2D, and 2E? Thank you.

Set-up: Now, you would like to know if the distribution of colors is the same for both plain and peanut M&M's. The table below shows the observed counts for random samples of M&M's of both types. Data: Table 3: Observed colors from both types of M&M's Type Blue Brown Green Orange Red Yellow Plain 1 7 8 8 l 8 3 10 Peanut 5 5 12 l 1 9 l l (251) State the null and alternative hypotheses for testing to determine if the categorical variables color and type are independent. Ho: The distribution of color was independent from the type of M&M. Ha: The distribution of color was dependent on type of M&M. The two variables are associated. (2b) Use data on the right to answer following below questions (2c) Remember to check that all assumptions for inference using this chi-square test have been met. (2d) Conclusion: Do you reject or fail to reject the null hypothesis at an alpha level of 0.05? Explain your answer using the p-Value from the output. (2e) What is your opinion about the comparison of the distributions of colors in the two types of candies? Contingency Analysis of Color E; Type Mosaic Plo't 1.00 Freq:Con1nt Contingency Table TypepColor Count Blue Brown Green Orange Red Yellow Total Expected Cell Chi"? peanut 5 5 12 11 9 11 53 9.96581 5.88889 9.05983 13.1368 5.4359 9.51282 2.4744 0.1342 0.9542 0.3476 2.3363 0.2325 plain 17 8 8 18 3 10 64 12.0342 7.11111 10.9402 15.8632 65641 11.4872 2.0491 0.1111 0.7902 0.2878 1.9352 0.1925 19ml 22 13 20 29 12 21 117 Test: N DF mus. mun-anew: 117 5 6.1390575 0.0300 THE mm mm likelihood Ratio 12.278 00312" Pearson 11.346 00370"