# MATHEMATICS

1.Which of the following is the BEST statement of the null hypothesis for conducting a Chi-Square analysis?

A) The variables are NOT statistically related in the sample

B) The variables are NOT statistically related in the population

C) The variables ARE statistically related in the sample

D) The variables ARE statistically related in the population

2.Which of the following variables COULD be used in a Chi-Square analysis?

A) All of the above

B) Political Party Affiliation

C) Gender

D) Race

E) Age

F) Course Section Number

3.When conducting a chi-square test on two variables, a statistically significant relationship is illustrated when:

A) the sample produces a large relationship that is unlikely to have occurred even if there is no difference in the population.

B) the sample produces a small relationship that is likely to have occurred even if there is no difference in the population.

C) the sample produces a small relationship that is unlikely to have occurred even if there is no difference in the population.

D) the sample produces a large relationship that is likely to have occurred even if there is no difference in the population.

4.From our Class Survey data using Gender (Column 2) and if you would date someone of a different race (Column 25), the odds that Males will date a person of a different race are ____ times the odds for females.

A) 0.57

B) 1.77

C) 0.61

D) 1.08

5.From our Class Survey data using Gender (Column 2) and if you would date someone of a different race (Column 25), among males what is the risk of dating someone of a different race?

A) 0.11

B) 0.89

C) 0.125

D) 8.00

6.The table above shows the opinions of 953 respondents in the General Social Survey to the question “If your party nominated a woman for President, would you vote for her if she were qualified for the job?” What percent of males would vote for a woman president?

A) 84.0%

B) 40.7%

C) 35.2%

D) 16.0%

7.The table above shows the counts by gender and highest degree attained for 498 respondents in the General Social Survey. What percent of the sample did not graduate from high school?

A) 18.5%

B) 20.3%

C) 22.6%

D) 52.4%

8.The table above shows the number of Olympic medals won by the three countries with the most medals during the 2000 Olympics in Sydney, Australia. There were a total of 244 medals won by the three countries. What percent of the medals won by China were silver?

A) 24.2%

B) 6.6%

C) 28.3%

D) 27.1%

9.the relative risk of allergies for children of parents who smoke compared to children of parents who donâ€™t smoke is 3.0. Suppose that the risk of allergies for the children of non-smokers is 0.15 (15%). What is the risk of allergies for the children of smokers?

A) 5%

B) 45%

C) 3%

D) 30%

10.A newspaper article reported that “Children who routinely compete in vigorous after-school sports on smoggy days are three times more likely to get asthma than their non-athletic peers.” (Sacramento Bee, Feb 1, 2002, p. A1) Of the following, which is the most important additional information that would be useful before making a decision about participation in school sports?

A) Who funded the study?

B) Where was the study conducted?

C) How many students in the study participated in after-school sports?

D) What is the baseline risk for getting asthma?

11.A study done by the Center for Academic Integrity at Rutgers University surveyed 2116 students at 21 colleges and universities. Some of the schools had an “honor code” and others did not. Of the students at schools with an honor code, 7% reported having plagiarized a paper via the Internet, while at schools with no honor code, 13% did so. (Sacramento Bee, Feb 29, 2000, D1.) For this study, which of the following statements about percent increase in risk is correct?

A) There is a 53.8% increase in the risk of plagiarism at a school with no honor code, compared to a school with an honor code.

B) There is a 185.7% increase in the risk of plagiarism at a school with no honor code, compared to a school with an honor code.

C) There is a 6% increase in the risk of plagiarism at a school with no honor code, compared to a school with an honor code.

D) There is an 85.7% increase in the risk of plagiarism at a school with no honor code, compared to a school with an honor code.

12.A survey asked people how often they exceed speed limits. The data are then categorized into the above contingency table of counts showing the relationship between age group and response. Among people with age under 30 what are the odds that they always exceed the speed limit?

A) 2 to 1

B) 1 to 2

C) 1 to 1

D) 50%

13.The table above shows the opinions of 1447 respondents in the General Social Survey to the question “Do you favor or oppose the death penalty for persons convicted of murder?” The purpose of examining the data is to see if there is a gender difference in how people would respond to this question. State the null hypotheses for this study.

A) There is no relationship in the population between gender and opinion on the death penalty.

B) There is a relationship in the population between gender and opinion on the death penalty.

C) There is no relationship in the sample between gender and opinion on the death penalty.

D) There is a relationship in the sample between gender and opinion on the death penalty.

14.Students in a statistics class were asked, “With whom do you find it easier to make friends:person of the same sex, person of opposite sex, or no preference?” A table summarizing the responses by gender is given below. Minitab results for a chi-square test for these data were: Chi-Sq = 7.15 DF=2 P-value = 0.028. Assume these students represent a random sample of all students. Based on the chi-square test, what conclusion can be made about the relationship between gender and response to the question about friends, using a = 0.05? In the population:

A) The relationship is not statistically significant so there is a relationship.

B) The relationship is statistically significant so there is no relationship.

C) The relationship is not statistically significant so there is no relationship.

D) The relationship is statistically significant so there is a relationship.

15.The table above shows the opinions of 953 respondents in the General Social Survey to the question “Everything considered, would you say that in general, you approve or disapprove of wiretapping?” The purpose of examining the data is to see if there is a gender difference in how people would respond to this question. State the null hypotheses for this study.

A) There is a relationship in the population between gender and approval of wiretapping

B) There is no relationship in the population between gender and approval of wiretapping

C) There is no relationship in the sample between gender and approval of wiretapping

D) There is a relationship in the sample between gender and approval of wiretapping