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In: Statistics and Probability

A manufacturer of colored candies states that 13​% of the candies in a bag should be​...

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 alpha=0.05 level of significance.

Determine the null and alternative hypotheses.

Compute the expected counts for each color.

Color Observed Count Expected Count
Brown 63
Yellow 64
Red 56
Blue 59
Orange 81
Green 63

What is the test statistic?

What is the P-value of the test?

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