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A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the x = 0.05 level of significance. 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. H₁: The distribution of colors is the same as stated by the manufacturer. OB. Ho: The distribution of colors is the same as stated by the manufacturer. H₁: The distribution of colors is not the same as stated by the manufacturer. O C. None of these. Compute the expected counts for each color. Color Brown Yellow Red Blue Orange Green Frequency 62 65 53 61 78 66 Expected Count (Round to two decimal places as needed.) Y Screen Shot 2023-... Observed Distribution of Colors Color Frequency Claimed Proportion A Colored Candies in a bag Brown Yellow Red Blue 62 65 53 61 0.13 0.14 0.13 0.24 Orange Green 78 0.20 66 0.16

A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the x = 0.05 level of significance. 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. H₁: The distribution of colors is the same as stated by the manufacturer. OB. Ho: The distribution of colors is the same as stated by the manufacturer. H₁: The distribution of colors is not the same as stated by the manufacturer. O C. None of these. Compute the expected counts for each color. Color Brown Yellow Red Blue Orange Green Frequency 62 65 53 61 78 66 Expected Count (Round to two decimal places as needed.) Y Screen Shot 2023-... Observed Distribution of Colors Color Frequency Claimed Proportion A Colored Candies in a bag Brown Yellow Red Blue 62 65 53 61 0.13 0.14 0.13 0.24 Orange Green 78 0.20 66 0.16

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the α = 0.05 level of significance. 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. H₁: The distribution of colors is the same as stated by the manufacturer. B. Ho: The distribution of colors is the same as stated by the manufacturer. H₁: The distribution of colors is not the same as stated by the manufacturer. C. None of these. Compute the expected counts for each color. Color Brown Yellow Red Blue Orange Green Frequency 62 65 53 61 78 66 Expected Count (Round to two decimal places as needed.) Screen Shot 2023-... Observed Distribution of Colors Color Frequency Claimed Proportion Colored Candies in a bag Brown Yellow Red 62 65 53 0.13 0.14 0.13 Blue 61 0.24 Orange Green 78 66 0.20 0.16
Transcribed Image Text:A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the α = 0.05 level of significance. 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. H₁: The distribution of colors is the same as stated by the manufacturer. B. Ho: The distribution of colors is the same as stated by the manufacturer. H₁: The distribution of colors is not the same as stated by the manufacturer. C. None of these. Compute the expected counts for each color. Color Brown Yellow Red Blue Orange Green Frequency 62 65 53 61 78 66 Expected Count (Round to two decimal places as needed.) Screen Shot 2023-... Observed Distribution of Colors Color Frequency Claimed Proportion Colored Candies in a bag Brown Yellow Red 62 65 53 0.13 0.14 0.13 Blue 61 0.24 Orange Green 78 66 0.20 0.16
What is the test statistic? x² = 0 (Round to three decimal places as needed.) What is the P-value of the test? (Round to three decimal places as needed.) Based on the results, do the colors follow the same distribution as stated in the problem? P-value = A. Reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. B. Reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. C. Do not reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.
Transcribed Image Text:What is the test statistic? x² = 0 (Round to three decimal places as needed.) What is the P-value of the test? (Round to three decimal places as needed.) Based on the results, do the colors follow the same distribution as stated in the problem? P-value = A. Reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. B. Reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. C. Do not reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.
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