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...














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.


1) Compute the expected counts for each color.


brown-61


yellow-65


red-53


blue-59


orange-80


green-66



2)What is the test​ statistic?


x^2 0=?



3)What is the​ P-value of the​ test?



4) Based on the​ results, do the colors follow the same distribution as stated in the​ problem?


Jun 09, 2022
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