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 alpha equals 0.05 level of significance. Using the level of significance alpha equals 0.05 ​, test whether the color distribution is the same. What is the test statistic? Xo^2=[ ] (round to three decimal places as needed

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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

alpha equals

0.05

 

level of significance. Using the level of significance

alpha equals

0.05

​,

test whether the color distribution is the same.

What is the test statistic?

Xo^2=[ ] (round to three decimal places as needed

Observed Distribution of Colors
Color
Frequency
Claimed Proportion
Colored Candies in a bag
Brown Yellow Red
66
55
0.14
0.13
63
0.13
Blue
60
0.24
Orange Green
87
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 66 55 0.14 0.13 63 0.13 Blue 60 0.24 Orange Green 87 64 0.20 0.16 I
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