A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207). Which of the following statements is the best interpretation of the interval?       The difference in the percents of fans of a professional football team between men and women is 17%. Answer A: The difference in the percents of fans of a professional football team between men and women is 17%. A There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team. Answer B: There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team. B We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%. Answer C: We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%. C We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%. Answer D: We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%. D We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)

The Athletics Department at a high school is interested in the difference in the run times between 11th and 12th grade students. Suppose the 11th grade students make up the first sample while the 12th grade students make up the second.Using a confidence level of 95%, the confidence interval found was (−1.8,2.9)(-1.8,2.9).Which of the following is the correct interpretation? We are 95% confident that the run times of the 11th grade students are, on average, faster than those of the 12th grade students. We are 95% confident that the run times of the 11th grade students are, on average, slower than those of the 12th grade students. We are 95% confident that the run times of the 11th grade students are, on average, about the same as those of the 12th grade students.

In a survey of 40 students in an introductory statistics class, a professor asks how many states in the United States each student has visited. Using the data from the professor's sample, a 99% confidence interval for the average number of states all students at the professor's school have visited is found to be (6.78, 12.18). Determine whether each of the following statements is valid or invalid. You may assume that the sample is representative of all students at the professor's school. (a)  We are 99% confident that the average number of states visited by the 40 students the professor surveyed is between 6.78 and 12.18.  Valid Invalid   (b)  Based on the 99% confidence interval, there is evidence that the average number of states visited by all students at the professor's school is different from 16.  Valid Invalid   (c)  We are 99% confident that the average number of states visited by all students at the professor's school is between 6.78 and 12.18.  Valid Invalid   (d)…

A survey of 2450 golfers showed that 281 of them are left-handed. Construct a 90% confidence interval for the proportion of golfers that are left-handed. Question 10 options: (0.104, 0.125) (0.369, 0.451) (0.100, 0.130) (0.203, 0.293)

The dean of students at a large college is interested in learning about their opinions regarding the percentage of first-year students who should be given parking privileges in the main lot. He sends out an email survey to all students about this issue. A large number of first-year students reply but very few sophomores, juniors, and seniors reply. Based on the responses he receives, he constructs a 90% confidence interval for the true proportion of students who believe first-year students should be given parking privileges in the main lot to be (0.71, 0.79). Which of the following may have an impact on the confidence interval, but is not accounted for by the margin of error? response bias O nonresponse bias O sampling variation O undercoverage bias

To properly examine the effect of a categorical independent variable in a multiple linear regression model we use an interaction term. True O False

. In a random sample of 400 private high school students, 320 said they brought a smartphone to school that day, while in a random sample of 400 public high school students, 288 said they brought a smartphone to school that day. Which of the following represents a 98 percent confidence interval estimate for the difference (private high school minus public high school) between the proportions of all private high school and public high school students who bring a smartphone to school? (0.8)(0.2) (0.72)(0.28) (A) (0.8-0.72)±1.96, 400 400 (B) (0.8-0.72)±2.054, + (0.8)(0.2) (0.72)(0.28) 400 400 (C) (0.8-0.72)±2.326 + (0.8)(0.2) (0.72)(0.28) 400 400 1 (D) (0.8-0.72)±2.054, (0.76)(0.24) + 400 400 (E) (0.8-0.72)±2.326, (0.76)(0.24) + I 400 400

Most married couples have two or three personality preferences in common. A random sample of 362 married couples found that 138 had three preferences in common. Another random sample of 552 couples showed that 218 had two personality preferences in common. Let p1 be the population proportion of all married couples who have three personality preferences in common. Let p2 be the population proportion of all married couples who have two personality preferences in common.   (a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)lower limit =upper limit=