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Chapter 11: Q. 2.4 (page 684)

Let’s continue our analysis of Joey’s sample of M&M’S Peanut Chocolate Candies from the previous Check Your Understanding (page 681).

4. What conclusion would you draw about the company’s claimed color distribution for M&M’S Peanut Chocolate Candies? Justify your answer.

Short Answer

Expert verified

We reject the null hypothesis and accept the alternative one.

Step by step solution

01

Given

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.

02

Interpretation

From previous sub-part we get,p-value≈0.048456

Since we have

p-value≈0.048456>𝛂=0.05

The result is statistically significant.

We can reject the null hypothesis and accept the alternative.

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Most popular questions from this chapter

Your teacher prepares a large container full of colored beads. She claims that 1/8of the beads are red, 1/4are blue, and the remainder are yellow. Your class will take a simple random sample of beads from the container to test the teacher’s claim. The smallest number of beads you can take so that the conditions for performing inference are met is

(a) 15. (c) 30. (e) 80.

(b) 16. (d) 40

Refer to Exercise 28. Do the data provide convincing evidence of a difference in the distributions of opinions about how high schools are doing among black, Hispanic, and white parents?

(a) State appropriate null and alternative hypotheses for a significance test to help answer this question.

(b) Calculate the expected counts. Show your work.

(c) Calculate the chi-square statistic. Show your work.

Roulette Calculate the chi-square statistic for the data in Exercise 2. Show your work.

Mars, Inc., reports that their M&M’S 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 expected count for each color, assuming that the company’s claim is true. Show your work.

The expected count of cases of lymphoma in homes with an HCC is

(a) 79·31215.

(b) 10·21215.

(c) 79·3110.

(d) 136·31215.

(e) None of these.
See all solutions

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