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

3. Use Table C to find the P-value. Then use your calculator鈥檚 饾挸2cdf command.

Short Answer

Expert verified

p-value0.048456

Step by step solution

01

Given

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.

02

Calculation

Since from previous part we obtained that

df=5

饾搂2=11.1516

Therefore the p-value can be calculated as

role="math" localid="1653657110620" p-value=P(X>饾搂2)

Upon looking in the calculator we obtain that

p-value0.048456

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Most popular questions from this chapter

The cell in the table that contributes the most to the chi-square statistic is (a) Female, 5050 chance.

(b) Male, 5050 chance.

(c) Female, almost certain.

(d) Male, almost certain.

(e) All the cells contribute equally to the test statistic.

Which of the following may we conclude, based on the test results?

(a) There is strong evidence of an association between wiring configuration and the chance that a child will develop some form of cancer.

(b) HCC either cause cancer directly or is a major contributing factor to the development of cancer in children.

(c) Leukemia is the most common type of cancer among children.

(d) There is not much evidence of an association between wiring configuration and the type of cancer that caused the deaths of children in the study.

Who were the popular kids at your elementary school? Did they get good grades or have good looks? Were they good at sports? A study was performed to examine the factors that determine social status for children in grades 4,5, and 6. Researchers administered a questionnaire to a random sample of 478students in these grades. One of the questions they asked was 鈥淲hat would you most like to do at school: make good grades, be good at sports, or be popular?鈥 The two-way table below summarizes the students鈥 responses.

GoalGenderGradesPopularSportsFemale1309130Male1175060

(a) Construct an appropriate graph to compare male and female responses. Write a few sentences describing the relationship between gender and goals.

(b) Is there convincing evidence of an association between gender and goals for elementary school students? Carry out a test at the localid="1653534557186" =0.05level and report your conclusion.

(c) Which cell contributes most to the chi-square statistic in part (b)? Explain

North Carolina State University studied student performance in a course required by its chemical engineering major. One question of interest was the relationship between time spent in extracurricular activities and whether a student earned a C or better in the course. Here are the data for the 119 students who answered a question about extracurricular activities:

(a) Calculate percentages and draw a bar graph that describes the nature of the relationship between time spent on extracurricular activities and performance in the course. Give a brief summary in words.

b) Explain why you should not perform a chi-square test in this setting.

The chi-square statistic is

(a) (18-25)225+(22-25)225+(39-25)225+(21-25)225

(b) (25-18)218+(25-22)222+(25-39)239+(25-21)221

(c) (18-25)25+(22-25)25+(39-25)25+(21-25)25

(d)(18-25)2100+(22-25)2100+(39-25)2100+(21-25)2100

(e)(0.18-0.25)20.25+(0.22-0.25)20.25+(0.39-0.25)20.25+(0.21-0.25)20.25

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