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...


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.


Determine the correct null and alternative hypothesis.


Compute the expected counts for each color:








































ColorFrequencyExpected Count
Brown59
Yellow63
Red55
Blue60
Orange85
Green65

What is the test statistic χ20χ02?


What is the P-value?



Jun 09, 2022
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