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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&Ms of 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. E Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H: The distribution of colors is the same as stated by the manufacturer. O B. Hn: 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. OC. Ho: The distribution of colors is at least as uniform as stated by the manufacturer. H1: The distribution of colors is less uniform than stated by the manufacturer. O D. Hn: The distribution of colors is at most as uniform as stated by the manufacturer. H,: The distribution of colors is more uniform than stated by the manufacturer. Compute the expected counts for each color. (Round to two decimal places as needed.) Color Frequency Expected Count Brown 60 Yellow 63 Red 57 Blue 60 Orange 94 Green 64 What is the test statistic? X6 = (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? V Ho. There is V evidence that the distribution of colors is V stated by the manufacturer. Observed Distribution of Colors Color Brown Yellow Red Blue Orange Green Frequency Claimed Proportion 60 63 57 60 94 64 0.13 0.14 0.13 0.24 0.20 0.16 Print Done

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&Ms of 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. E Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H: The distribution of colors is the same as stated by the manufacturer. O B. Hn: 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. OC. Ho: The distribution of colors is at least as uniform as stated by the manufacturer. H1: The distribution of colors is less uniform than stated by the manufacturer. O D. Hn: The distribution of colors is at most as uniform as stated by the manufacturer. H,: The distribution of colors is more uniform than stated by the manufacturer. Compute the expected counts for each color. (Round to two decimal places as needed.) Color Frequency Expected Count Brown 60 Yellow 63 Red 57 Blue 60 Orange 94 Green 64 What is the test statistic? X6 = (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? V Ho. There is V evidence that the distribution of colors is V stated by the manufacturer. Observed Distribution of Colors Color Brown Yellow Red Blue Orange Green Frequency Claimed Proportion 60 63 57 60 94 64 0.13 0.14 0.13 0.24 0.20 0.16 Print Done

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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&Ms of 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. E Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H: The distribution of colors is the same as stated by the manufacturer. O B. Hn: 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. O C. Ho: The distribution of colors is at least as uniform as stated by the manufacturer. H,: The distribution of colors is less uniform than stated by the manufacturer. O D. Hn: The distribution of colors is at most as uniform as stated by the manufacturer. H;: The distribution of colors is more uniform than stated by the manufacturer. Compute the expected counts for each color. (Round to two decimal places as needed.) Color Frequency Expected Count Brown 60 Yellow 63 Red 57 Blue 60 Orange 94 Green 64 What is the test statistic? x = (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? Ho. There is V evidence that the distribution of colors is V stated by the manufacturer. Observed Distribution of Colors Color Frequency Claimed Proportion Brown Yellow Red Blue Orange Green 60 63 57 60 94 64 0.13 0.14 0.13 0.24 0.20 0.16 Print Done
Transcribed Image Text: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&Ms of 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. E Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H: The distribution of colors is the same as stated by the manufacturer. O B. Hn: 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. O C. Ho: The distribution of colors is at least as uniform as stated by the manufacturer. H,: The distribution of colors is less uniform than stated by the manufacturer. O D. Hn: The distribution of colors is at most as uniform as stated by the manufacturer. H;: The distribution of colors is more uniform than stated by the manufacturer. Compute the expected counts for each color. (Round to two decimal places as needed.) Color Frequency Expected Count Brown 60 Yellow 63 Red 57 Blue 60 Orange 94 Green 64 What is the test statistic? x = (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? Ho. There is V evidence that the distribution of colors is V stated by the manufacturer. Observed Distribution of Colors Color Frequency Claimed Proportion Brown Yellow Red Blue Orange Green 60 63 57 60 94 64 0.13 0.14 0.13 0.24 0.20 0.16 Print Done
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