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Chapter 11: Q.2.2 (page 703)

Calculate the expected counts. Show your work

Short Answer

Expert verified

The expected count is,

Use FacebookMain CampusCommon wealthSeveral times a month or less77.5653.44At least once a week220.25151.75At least once a day612.19421.81

Step by step solution

01

Given Information

The table is

02

Explanation

The formula to compute the degree of freedom is:

Expected count =Row total×Coloumn totalTable total

The expected count isUse FacebookMain CampusCommon wealthSeveral times a month or less1820×1313074=77.561254×1313074=53.44At least once a week1820×3723074=220.251254×3723074=151.75At least once a day1820×10343074=612.191254×10343074=421.81

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Most popular questions from this chapter

What is the most important reason that students buy from catalogs? The answer may differ for different groups of students. Here are results for separate random samples of American and Asian students at a large midwestern university

(a) Should we use a chi-square test for homogeneity or a chi-square test of association/independence in this setting? Justify your answer. (b) State appropriate hypotheses for performing the type of test you chose in part (a). Minitab output from a chi-square test is shown below.

(c) Check that the conditions for carrying out the test are met.

(d) Interpret the P-value in context. What conclusion would you draw?

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 chi-square statistic for Joey’s sample. 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: 12blue, 7orange,13green, 4yellow, 8red, and 2brown.

State appropriate hypotheses for testing the company’s claim about the color distribution of peanut M&M’S.

Do the data provide convincing evidence of a difference in the effectiveness of the four treatments? Carry out an appropriate test at the α=0.05significance level.

A study conducted in Charlotte, North Carolina, tested the effectiveness of three police responses to spouse abuse: (1) advise and possibly separate the couple, (2) issue a citation to the offender, and (3) arrest the offender. Police officers were trained to recognize eligible cases. When presented with an eligible case, a police officer called the dispatcher, who would randomly assign one of the three available treatments to be administered. There were a total of 650 cases in the study. Each case was classified according to whether the abuser was subsequently arrested within six months of the original incident.

(a) Explain the purpose of the random assignment in the design of this study.

(b) Construct a well-labeled graph that is suitable for comparing the effectiveness of the three treatments.

(c) We want to use these data to perform a test ofH0:p1=p2=p3wherepi=

the true proportion of spouse abusers like the ones in this study who would be arrested again within six months after receiving treatment \(i\). State an appropriate alternative hypothesis.

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