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QUESTION

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 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=0.050.05 level of significance.

What is the null and alternative hypotheses. Choose the correct answer below.

A.

H0: The distribution of colors is not the same as stated by the manufacturer.

H1: The distribution of colors is the same as stated by the manufacturer.

B.

H0: The distribution of colors is the same as stated by the manufacturer.

H1: The distribution of colors is not the same as stated by the manufacturer.

C.

None of these.

What is the test statistic? χ20

What is the P-value of the test?

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

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