The M&M/Mars Chocolate Company is interested in customer preferences

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The M&M/Mars Chocolate Company is interested in customer preferences regarding the color of their M&M candies.  They believe that people’s preferences for color is given in the table below.

Color

Brown

Yellow

Red

Orange

Green

Blue

Percentage

30%

20%

20%

10%

10%

10%

If they surveyed 500 customers regarding their preferences and found the following number of people with each preference:

Color

Brown

Yellow

Red

Orange

Green

Blue

Number

177

135

79

36

35

38

a. What would be the hypotheses you are testing in this situation?

b. Perform the test and give the correct conclusion based on your test results using α = 0.05.