Question

QUESTION 1

1. Which of the following scenarios are most suitable for the chi-square test for difference in proportions?
   Hint: There are 3 correct answers.

   	a.	You want to know whether there is any difference between the average number of females and the average number of males who prefer working for a boss of the opposite gender as compared to a boss of the same gender.
   	b.	You are curious to find out if there is any difference in the average incomes among the U.S., Canada and the U.K.
   	c.	You wonder whether there is any difference in the proportions of smokers between female high school students and male high school students.
   	d.	You are interested in finding out whether the proportions of students who agree that NAU should increase its tuition further are the same across freshmen, sophomores, juniors and seniors.
   	e.	You are interest in finding out whether the percentages of PCs that break down within the first month are the same across five different manufacturers.
   	f.	You want to know whether the percentage of republicans who favor a tax cut is higher than the percentage among democrats.

QUESTION 2

1. Which of the following scenarios are most suitable for the chi-square test for independence?
   Hint: There are 2 correct answers.

   	a.	You want to know if there is any connection between a person’s hair color and eye color.
   	b.	You want to know whether there is any difference between the average number of females and the average number of males who prefer working for a boss of the opposite gender as compared to a boss of the same gender.
   	c.	You are curious to find out if the variations of smokers are the same across freshmen, sophomores, juniors and seniors at NAU.
   	d.	You wonder whether political party affiliation is related to gender.
   	e.	You are curious to find out if there is any difference in the average incomes among the U.S., Canada and the U.K.
   	f.	You want to know whether median income of republicans are higher than the median income of democrats.

QUESTION 3

1. Which of the following scenarios are most suitable for the Z test for difference in two proportions?
   Hint: There are 2 correct answers.

   	a.	You are interested in finding out whether the proportions of students who agree that NAU should increase its tuition further are the same across freshmen, sophomores, juniors and seniors.
   	b.	You are interest in finding out whether the percentages of PCs that break down within the first month are the same across five different manufacturers.
   	c.	You wonder whether political party affiliation is related to gender.
   	d.	You want to know if there is any connection between a person’s hair color and eye color.
   	e.	You wonder whether there is any difference in the proportions of smokers between female high school students and male high school students.
   	f.	You want to know whether the percentage of republicans who favor a tax cut is higher than the percentage among democrats.
   	g.	You are curious to find out if there is any difference in the average incomes among the U.S., Canada and the U.K.
   	h.	You want to know whether there is any difference between the average number of females and the average number of males who prefer working for a boss of the opposite gender as compared to a boss of the same gender.

QUESTION 4

1. When should the Marascuilo procedure be used?

   	a.	To find out if there is any difference in any pair of population proportions when one fails to reject the chi-square test for two proportions.
   	b.	To find out if there is any difference in any pair of population proportions once the chi-square test for more than two proportions is rejected.
   	c.	To find out if there is any difference in any pair of population porportions when one fails to reject the chi-square test for more than two proportions.
   	d.	To find out if there is any difference in any pair of population proportions once the chi-square test for two proportions is rejected.

QUESTION 5

1. The computation and operation procedure of the chi-square test for independence is exactly the same as those of which of the following?
   One correct answer.

   	a.	one-way ANOVA F test
   	b.	Z test for difference in two proportions
   	c.	Tukey-Kramer procedure
   	d.	Chi-square test for difference in more than two proportions
   	e.	Marascuilo procedure
   	f.	Z test for difference in two means

Answer 1

1. The scenarios are most suitable for the chi-square test for difference in proportions -

ans-> d) You are interested in finding out whether the proportions of students who agree that NAU should increase its tuition further are the same across freshmen, sophomores, juniors and seniors.

e) You are interest in finding out whether the percentages of PCs that break down within the first month are the same across five different manufacturers.

2. The scenarios that are most suitable for the chi-square test for independence -

ans->

a) You want to know if there is any connection between a person’s hair color and eye color.

d) You wonder whether political party affiliation is related to gender.

3. The scenarios that are most suitable for the Z test for difference in two proportions -

ans-> e) You wonder whether there is any difference in the proportions of smokers between female high school students and male high school students.

f) You want to know whether the percentage of republicans who favor a tax cut is higher than the percentage among democrats.

4. The Marascuilo procedure be used -

ans-> b) To find out if there is any difference in any pair of population proportions once the chi-square test for more than two proportions is rejected.

5. ans-> d) Chi-square test for difference in more than two proportions