A 1-pound bag of candy-coated chocolate-covered peanuts

Chapter 9, Problem 1E

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QUESTION:

A 1-pound bag of candy-coated chocolate-covered peanuts contained 224 pieces of candy, each colored brown, orange, green, or yellow. Test the null hypothesis that the machine filling these bags treats the four colors of candy equally likely; that is, test

               \(H_0 : p_B = p_O = p_G = p_Y = \frac{1}{4}\).

The observed values were 42 brown, 64 orange, 53 green, and 65 yellow candies. You may select the significance level or give an approximate p-value.

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QUESTION:

A 1-pound bag of candy-coated chocolate-covered peanuts contained 224 pieces of candy, each colored brown, orange, green, or yellow. Test the null hypothesis that the machine filling these bags treats the four colors of candy equally likely; that is, test

               \(H_0 : p_B = p_O = p_G = p_Y = \frac{1}{4}\).

The observed values were 42 brown, 64 orange, 53 green, and 65 yellow candies. You may select the significance level or give an approximate p-value.

ANSWER:

Step 1 of 4

A 1-pound bag of candy-coated chocolate-covered peanuts contained 224 pieces of candy, each coloured brown, orange, green, or yellow.

Given that

The alternative hypothesis is

At least one of and is different.

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