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 a = 0.05 level of significance. Using the level of significance a = 0.05, test whether the color distribution is the same. Click here to view the table. Click here to view the table of critical values of the chi-square distribution.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Compute the expected counts for each color. 

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 a = 0.05 level of significance. Using the level of significance a = 0.05, test whether the color distribution is the same.
Click here to view the table. Click here to view the table of critical values of the chi-square distribution.
The incivis is its un an stated by the manufacturi
OC. Ho: 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.
D. 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.
Compute the expected counts for each color.
Color
Brown
Yellow
Red
Blue
Orange
Green
Frequency
59
65
57
59
99
64
Expected Count
(Round to two decimal places as needed.)
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 a = 0.05 level of significance. Using the level of significance a = 0.05, test whether the color distribution is the same. Click here to view the table. Click here to view the table of critical values of the chi-square distribution. The incivis is its un an stated by the manufacturi OC. Ho: 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. D. 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. Compute the expected counts for each color. Color Brown Yellow Red Blue Orange Green Frequency 59 65 57 59 99 64 Expected Count (Round to two decimal places as needed.)
Observed Distribution of Colors
Color
Frequency
Claimed Proportion
Colored Candies in a bag
Brown Yellow Red Blue
59
65
57
59
0.13
0.14 0.13
0.24
Print
Done
Orange Green
99
64
0.20
0.16
I
Transcribed Image Text:Observed Distribution of Colors Color Frequency Claimed Proportion Colored Candies in a bag Brown Yellow Red Blue 59 65 57 59 0.13 0.14 0.13 0.24 Print Done Orange Green 99 64 0.20 0.16 I
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