1. Suppose that, in a factory owned by Toxi-Fresh Inc.

| August 30, 2017

uestion
1. Suppose that, in a factory owned by Toxi-Fresh Inc. (the world’s largest manufacturer of industrial-strength toxic waste), a recent accident caused large amounts of toxic waste to be dumped into a nearby landfill. (The owner of the factory “accidentally” realized that the landfill was the cheapest place to dump it.) Shortly afterward, a nearby city is completely overrun by insects that are as large as dogs. Springing into action, Toxi-Fresh Inc. immediately begins an advertising campaign aimed at convincing the public that giant bugs make great pets.

To ensure that its advertising dollars are well spent, though, Toxi-Fresh Inc. would like to know whether men and women are equally likely to feel that giant bugs are really cool. You collect a random sample of 100 men and 100 women, and ask each of them the question, “Would you like to own a giant bug?” Each subject then selects one of the following three answers: “Yes”, “No”, or “Maybe”. The table below lists the number of males and females who selected each option:

“Yes”

“No”

“Maybe”

Males

50

15

35

Females

20

45

35

Conduct the appropriate c2test, at a = .05, to determine whether there is a relationship between gender and fondness for giant bugs. Provide the information indicated below:

a) Statistical Hypotheses

b) Decision Rule

c) Calculations

d) Decision

e) Interpretation

f) p-value

2. The chairperson of UCSD’s Department of Psychology and Agriculture (“psychogriculture”) thinks that some of his faculty members are more popular than others. Dr. Partay, Dr. Goode-Klas, Dr. O’Kaye, and Dr. Bhoring all teach different sections of “Super Advanced Spudtistics” (which is like statistics, but with less math and more potatoes). The number of students enrolled in each section is listed below…

Dr. Partay:

41

Dr. Goode-Klas:

38

Dr. O’Kaye:

30

Dr. Bhoring

25

Based on this information, conduct the appropriate c2test, at a = .05, to determine whether enrollment is distributed equally or differs among these professors of psychogriculture.

Provide the information indicated below:

a) Statistical Hypotheses

b) Decision Rule

c) Calculations

d) Decision

e) Interpretation

f) p-value

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