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, 10% red, 30% organic, 20% green, and 20% blue. The colors present in a sample of 442 candies was recorded. Is the representatives claim about the expected proportions of each color refuted by the data?

color	brown	yellow	red	orange	green	blue
number of candies	62	88	106	62	62	62

FIND THE VALUE OF THE TEST STATISTIC.

FIND THE CRITICAL VALUE OF THE TEST AT THE 0.01 LEVEL OF SIGNIFICANCE

DOES THIS FAIL TO REJECT NULL HYPOTHESIS OR REJECT NULL HYPOTHESIS?

IS THERE ENOUGH EVIDENCE TO REFUTE THE COMPANYS CLAIM ABOUT THE PROPORTIONS OF COLORED CANDIES OR NOT?

Answer 1

The statistical software output for this problem is :

Test statistics = 190.3379

Critical value = 15.09

Degrees of freedom = 5

THERE IS NOT ENOUGH EVIDENCE TO REFUTE THE COMPANYS CLAIM ABOUT THE PROPORTIONS OF COLORED CANDIES .