Question

In: Statistics and Probability

A manufacturer of colored candies states that 1313​% of the candies in a bag should be​...

A manufacturer of colored candies states that

1313​%

of the candies in a bag should be​ brown,

1414​%

​yellow,

1313​%

​red,

2424​%

​blue,

2020​%

​orange, and

1616​%

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 equalsα=0.050.05

level of significance.

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Click the icon to view the table.

Determine 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.Your answer is correct.

C.

None of these.

Compute the expected counts for each color.

Color

Frequency

Expected Count

Brown

6363

Yellow

6767

Red

5353

Blue

5959

Orange

9797

Green

6464

​(Round to two decimal places as​ needed.)

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