Blog

For each of the below statements, state if it is true or false.  Type II error in the context of a chi-square test for independence is concluding that there is no relationship between two variables when there really is. This is a [fill1] statement.  If the slope of the regression line is positive, then there is a positive linear relationship between the variables. This is a [fill2] statement.  The intercept of the regression line describes the strength of the linear association between X and Y. This is a [fill3] statement.  Correlation between two quantitative random variables X and Y is -0.76. Intercept of the least square regression line of Y on X must be negative. This is a [fill4] statement.

Students in an introductory statistics class participate in a mid-semester survey. They were asked whether having quizzes better prepare them for the midterms. Their opinion of quizzes were coded as “0” if the answer is No, “1” if the answer is somewhat helpful, “2” if the answer is yes. This variable is:  

Please note that this question consists of three parts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question.  Fifty six percent of the undergraduate students in a college lives off-campus, 68% have a car, and 49% live off-campus and have a car. We randomly select an undergraduate student. Are the events “living off-campus” and “have a car” mutually exclusive? Explain your answer.   What is the probability that the student neither lives off-campus nor have a car? What is the probability that he/she has a car, if he/she lives off-campus?

For each of the following, select the correct answer from the dropdown menu.  If A and B are mutually exclusive events then P(A) = P(B) = 0.5 This is a [fill1] statement.  If A and B are independent events, then

Four golfers are asked to play a round of golf each on two consecutive Saturday afternoons. During the first round, one of two club types is to be used.  During the second round, another club type is to be used.  The order in which a golfer uses each club is determined randomly.  Scores are recorded.  To determine if the mean scores differ by type of club, we would use the:

Student Government Association (SGA)  at a college wants to conduct a survey to determine the proportion of students who voted for election of of the SGA President. Since interviewing all the students is not feasible due to practical reasons, they want to determine the sample size (number of students to be interviewed) needed to estimate the true proportion with a margin of error no larger than .1 using a 98% confidence interval. What is the sample size they need to ensure above specifications in their estimation? Choose the appropriate z-multiplier for the calculation from the below provided values.    

A sociological study is planed to conduct in a small town to estimate the proportion of households with at least one senior (over 65 years old) individual. They want to estimate the true proportion with a margin of error no larger than 0.04 using a 95% confidence interval. How many households should be sampled in order to ensure the above specifications in their estimation? 

Using the following five-number summary, indicate whether each statement below is true or false.  Minimum Q1 Median Q3 Maximum 20 35.6 52 72 99  

THE FISCAL RESPONSIBILITY ACT: A balanced budget/tax limitation amendment and a legislative line-item veto to restore fiscal responsibility to an out- of-control Congress, requiring them to live under the same budget constraints as families and businesses. THE TAKING BACK OUR STREETS ACT: An anti-crime package including stronger truth-in- sentencing, “good faith” exclusionary rule exemptions, effective death penalty provisions, and cuts in social spending from this summer’s “crime” bill to fund prison construction and additional law enforcement to keep people secure in their neighborhoods and kids safe in their schools. THE PERSONAL RESPONSIBILITY ACT: Discourage illegitimacy and teen pregnancy by prohibiting welfare to minor mothers and denying increased AFDC for additional children while on welfare, cut spending for welfare programs, and enact a tough two-years-and-out provision with work requirements to promote individual responsibility. THE FAMILY REINFORCEMENT ACT: Child support enforcement, tax incentives for adoption, strengthening rights of parents in their children’s education, stronger child pornography laws, and an elderly dependent care tax credit to reinforce the central role of families in American society.   The four pieces of legislation above were part of a proposal led by the Heritage Foundation during the 1994 midterm election season called:

“We think that, by using its public school system to encourage recitation of the Regents’ prayer, the State of New York has adopted a practice wholly inconsistent with the Establishment Clause…For this reason, petitioners argue, the State’s use of the Regents’ prayer in its public school system breaches the constitutional wall of separation between Church and State. We agree with that contention, since we think that the constitutional prohibition against laws respecting an establishment of religion must at least mean that, in this country, it is no part of the business of government to compose official prayers for any group of the American people to recite as a part of a religious program carried on by government.” Engel v. Vitale, 370 U.S. 421, 424-25 (1962)   What group or organization would have worked hardest in the 1980s to see a reversal of this Supreme Court decision?