Question

Suppose a candy company representative claims that colored candies are mixed such that each large production batch has precisely the following proportions: 10% brown, 10% yellow, 30% red, 20% orange, 10% green, and 20% blue. The colors present in a sample of 3613 candies were 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	34	52	70	83	52	70

Step 1 of 10 :  State the null and alternative hypothesis.

Step 2 of 10 :  What does the null hypothesis indicate about the proportions?

Step 3 of 10 :  State the null and alternative hypothesis in terms of the expected proportions.

Step 4 and 5 of 10 :  Find the expected value for the number for each color. 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 0.20,0.15,0.10,0.05,0.02,0.01 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 each level of significance.

Step 10 of 10 :  State the conclusion of the hypothesis test at each level of significance.

Answer 1