Suppose a candy company representative claims that colored candies are mixed such that each large production batch has precisely the following proportions: 30%30% brown, 10%10% yellow, 10%10% red, 10%10% orange, 20%20% green, and 20%20% blue. The colors present in a sample of 472472 candies was recorded. Is the representative's claim about the expected proportions of each color refuted by the data?

Color	brown	yellow	red	orange	green	blue
Number of Candies	109	66	61	104	61	71

Copy Data

Step 1 of 10:

State the null and alternative hypothesis.

A) H0: the proportions of the colored candies are precisely followed.

HA: the proportions of the colored candies are not precisely followed

B) H0: the proportions of the colored candies are not precisely followed

HA: the proportions of the colored candies are precisely followed.

Step 2 of 10:

What does the null hypothesis indicate about the proportions of candies of each color?

a) The proportions of candles of each color are thought to be equal

b) the proportions of each color are different for each category (and equal to the previously accepted values)

Step 3 of 10:

State the null and alternative hypothesis in terms of the expected proportions for each category.

Step 4 of 10:

Find the expected value for the number of chocolate candies colored brown. Round your answer to two decimal places.

Step 5 of 10:

Find the expected value for the number of chocolate candies colored green. Round your answer to two decimal places.

Step 6 of 10:

Find the value of the test statistic. Round your answer to three decimal places.

Step 7 of 10:

Find the degrees of freedom associated with the test statistic for this problem.

Step 8 of 10:

Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.

Step 9 of 10:

Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance.

A) Fail to reject null Hypothesis

B) Reject Null Hypothesis

Step 10 of 10:

State the conclusion of the hypothesis test at the 0.025level of significance.

A) There is not enough evidence to refute the company's claim about the proportions of colored candies

B)There is enough evidence to refute the company's claim about the proportions of colored candies