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Chapter 11: 1.1 (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: 12blue, 7orange,13green, 4yellow, 8red, and 2brown.

State appropriate hypotheses for testing the company鈥檚 claim about the color distribution of peanut M&M鈥�S.

Short Answer

Expert verified

The null and alternative hypotheses are:

H0: All of the M&M distributions are correct

Ha: At least one of the M&M distribution are correct

Step by step solution

01

Given Information

The number of blue, orange, green, yellow, red and brown candies are 12,7,13,4,8 and 2 respectively. The proportions are 23%,15% and 12% respectively.

02

Explanation

A test's null hypothesis always predicts that there will be no effect or relationship between variables, whereas the alternative hypothesis outlines your study prediction of an effect or link.

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Most popular questions from this chapter

Aw, nuts! Calculate the chi-square statistic for the data in Exercise 1. Show your work.

Removing warts A recently reported study looked at the use of oral zinc supplements to get rid of warts. The treatment group took an oral zinc supplement. Of these 32people, 19were rid of their warts after one month, and 6additional patients were rid of them after two months. The 23subjects in a control group were given a placebo. Of these, 1was rid of his warts after one month and 2additional patients were rid of their warts after two months. The reported results of the study included this table.

(a) The researchers say they did a chi-square test on this table. Explain why that makes no sense. Then make a correct two-way table displaying the results of the experiment.

(b) Explain why it is not appropriate to use a chi-square test in this setting even with the correct two-way table.

Which hypotheses would be appropriate for performing a chi-square test?

(a) The null hypothesis is that the closer students get to graduation, the less likely they are to be opposed to tuition increases. The alternative is that how close students are to graduation makes no difference in their opinion.

(b) The null hypothesis is that the mean number of students who are strongly opposed is the same for each of the four years. The alternative is that the mean is different for at least two of the four years.

(c) The null hypothesis is that the distribution of student opinion about the proposed tuition increase is the same for each of the four years at this university. The alternative is that the distribution is different for at least two of the four years.

(d) The null hypothesis is that year in school and student opinion about the tuition increase in the sample are independent. The alternative is that these variables are dependent.

(e) The null hypothesis is that there is an association between a year in school and opinion about the tuition increase at this university. The alternative hypothesis is that these variables are not associated.

A company claims that each batch of its deluxe mixed nuts contains 52%cashews, 27%almonds, 13%macadamia nuts, and 8%brazil nuts. To test this claim, a quality control inspector takes a random sample of 150nuts from the latest batch. The one-way table below displays the sample data.

(a) State appropriate hypotheses for performing a test of the company鈥檚 claim.

(b) Calculate the expected counts for each type of nut. Show your work

Design (4.2) Was this an observational study or an experiment? Justify your answer.
See all solutions

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