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 alpha equals 0.05 level of significance.

Color	Frequency	Claimed Proportion
Brown	59	0.13
Yellow	67	0.14
Red	55	0.13
Blue	59	0.24
Orange	99	0.2
Green	67	0.16

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.

C.None of these.

Compute the expected counts for each color.

Color	Frequency	Expected Count
Brown	59 ?
Yellow	67 ?
Red	55 ?
Blue	59 ?
Orange	99 ?
Green	67 ?

What is the test statistic?

chi Subscript 0 Superscript 2=?

What is the P-value of the test?

P-value=?

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

A.Do not reject Upper H 0. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.

B.Do not reject Upper H 0. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.

C.Reject Upper H 0. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.

D.Reject Upper H 0. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.

Answer rating: 100% (QA)

From the given information let X be the colored candies The frequency distribution is Choose the app... View the full answer