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 =0.05 level of significance. Using the level of significance alpha equals=0.05, test whether the color distribution is the same.

Color Brown Yellow Red Blue Orange Green

Frequency 61 67 55 59 80 67

Proportion 13% 14% 13% 24% 20% 16%

Expected

Use any method but follow the PHANTOMS acronym

P - Parameter Statement

H - Hypotheses

A - Assumptions & Conditions

N - Name the Test

T - Test Statistic

O - Obtain the P-Value or Critical Value

M - Make a Decision about the Null Hypothesis

S - State Your Conclusion About the Claim