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, 10% orange, 10% green, and 30% blue. The colors present in a sample of 458 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	110	92	64	87	41	64

Find the critical value of the test at the 0.05 level of significance. Round your answer to three decimal places.

Answer 1

Find the critical value of the test at the 0.05 level of significance. Round your answer to three decimal places.

Solution:

We are given

N = 6

df = N – 1 = 6 – 1 = 5

Level of significance =α = 0.05

So, by using Chi square table or excel, the critical value is given as below:

Critical value = 11.071