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 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.

Colored Candies in a bag

Color	Brown	Yellow	Red	Blue	Orange	Green
Frequency	63	65	55	61	79	67
Claimed Proportion	0.13	0.14	0.13	0.24	0.20	0.16

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

A. 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.

B. 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.

C. None of these.

Compute the expected counts for each color.

Color	Frequency	Expected Count
Brown	63	__?__
Yellow	65	__?__
Red	55	__?__
Blue	61	__?__
Orange	79	__?__
Green	67	__?__
		​(Round to two decimal places as​ needed.)

Answer 1