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A manufacturer of colored candies states that 13% of the candies in a bag should bebrown, 14% yellow, 13% red, 24% blue, 20% orange, and

A manufacturer of colored candies states that 13% of the candies in a bag should bebrown, 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 =0.05 level of significance. Using the level of significance =0.05, test whether the color distribution is the same.

Determine the null and alternative hypotheses. Choose the correct answer below.

A.

H0: The distribution of colors is at most as uniform as stated by the manufacturer.

H1: The distribution of colors is more uniform than stated by the manufacturer.

B.

H0: The distribution of colors is at least as uniform as stated by the manufacturer.

H1: The distribution of colors is less uniform than stated by the manufacturer.

C.

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.

D.

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.

image text in transcribed
Colored Candies in a bag Color Brown Yellow Red Blue Orange Green Frequency 60 67 56 59 88 65 Claimed Proportion 0.13 0.14 0.13 0.24 0.20 0. 16

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