Question

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 a=0.05 level of significance.

Color Brown Yellow Red Blue Orange Green
Frequency 59 66 54 61 90 65
Claimed Proportion 0.13 0.14 0.13 0.24 0.2 0.16

What is the test​ statistic? (round to three decimal places as needed)

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