According to the manufacturer of M&Ms, 13% of the plain M&Ms in a bag should be brown, 14% yellow. 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of plain M&Ms. He counted the number of M each color and obtained the results shown in the table. Test whether plain M&Ms follow the distribution stated by the manufacturer at the a = 0.05 level of significance. [ Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. X Observed Distribution of Colors A. Ho: The distribution of colors is at most as uniform as stated by the manufacturer. Hy: The distribution of colors is more uniform than stated by the manufacturer. B. Ho: The distribution of colors is not the same as stated by the manufacturer. Color Brown Yellow Red Blue Orange Green Hy: The distribution of colors is the same as stated by the manufacturer. Frequency 61 67 56 63 87 67 O C. Ho: The distribution of colors is at least as uniform as stated by the manufacturer. Claimed Proportion 0.13 0.14 0.13 0.24 0.20 0.16 Hy: The distribution of colors is less uniform than stated by the manufacturer. . D. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. Print Done Compute the expected counts for each color. (Round to two decimal places as needed.) Color Frequency Expected Count Brown 61 Yellow 87 Red 56 Blue 63 Orange 87 Greer 67 What is the test statistic? xo =(Round to three decimal places as needed.) What is the P-value of the test? P-value = (Round to three decimal places as needed.) Based on the results, do the colors follow the same distribution as stated in the problem?Based on the results, do the colors follow the same distribution as stated in the problem? Ho. There is evidence that the distribution of colors is stated by the manufacturer.What is the test statistic? decimal places as needed.) test? Reject hree decimal places as needed.) Do not reject the colors follow the same distribution as stated in the problem? Ho- There is evidence that the distribution of colors is stated by the manufacturer.What is the test statistic? xa = [Round to three dec What is the P-value of the tes sufficient P-value = (Round to three ed.) Based on the results, do the : not sufficient stribution as stated in the problem? Ho. There is evidence that the distribution of colors is stated by the manufacturer.What is the test statistic? not the same as (Round to three decimal places as needed.) the same as What is the P-value of the test? less uniform than P-value = [Round to three decimal places as needed.) Based on the results, do the colors follow the same distribution as stated in the proble more uniform than Ho. There is evidence that the distribution of colors is stated by the manufacturer