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Chapter 11: Q.1.3 (page 681)

Mars, Inc., reports that their M&M鈥橲 Peanut Chocolate Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown.

Calculate the chi-square statistic for Joey鈥檚 sample. Show your work.

Short Answer

Expert verified

The test statistic is 11.3724

Step by step solution

01

Given Information

Given that the number of blue, orange, green, yellow, red, and brown candies are 12,7,13,4,8and 2 respectively.

The proportions are23%,15%and 12%respectively.

02

Calculation for Test statistic

The formula to calculate the test statistic is

蠂2=鈭�(O-E)2E

The test statistic is:

蠂2=鈭�(O-E)2E

=11.372

Thus, the test statistic is 11.3724.

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