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 a=0.05 level of significance. E Click the icon to view the table. OC. None of these. Compute the expected counts for each color. i Observed Distribution of Colors Color Frequency Expected Count Brown 60 Yellow 65 Colored Candies in a bag Red 55 Color Brown Yellow Red Blue Orange Green Blue 63 Frequency Claimed Proportion 60 65 55 63 78 65 Orange 78 0.13 0.14 0.13 0.24 0.20 0.16 Green 65 (Round to two decimal pla Print Done What is the test statistic? (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? O A. Reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. OB. Do not reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. OC. Do not reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. С. OD. Reject Ho- There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.
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 a=0.05 level of significance. E Click the icon to view the table. OC. None of these. Compute the expected counts for each color. i Observed Distribution of Colors Color Frequency Expected Count Brown 60 Yellow 65 Colored Candies in a bag Red 55 Color Brown Yellow Red Blue Orange Green Blue 63 Frequency Claimed Proportion 60 65 55 63 78 65 Orange 78 0.13 0.14 0.13 0.24 0.20 0.16 Green 65 (Round to two decimal pla Print Done What is the test statistic? (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? O A. Reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. OB. Do not reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. OC. Do not reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. С. OD. Reject Ho- There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.
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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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 a = 0.05 level of significance.
Click the icon to view the table.
C. None of these.
Compute the expected counts for each color.
Observed Distribution of Colors
Color
Frequency
Expected Count
Brown
60
Yellow
65
Colored Candies in a bag
Red
55
Color
Brown
Yellow
Red
Blue
Orange Green
Blue
63
Frequency
Claimed Proportion
60
65
55
63
78
65
Orange
78
0.13
0.14
0.13
0.24
0.20
0.16
Green
65
(Round to two decimal pla
Print
Done
What is the test statistic?
%3D
(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?
A Reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.
Do not reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.
В.
Ос.
Do not reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.
D 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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