5 STAT HOMEWORK QUESTIONS

1.

Many colleges and universities charge more tuition for students who are in professional programs, such as Nursing, Engineering, Law, and Business. To measure support for differential tuition fees, a student asked a question in the two ways shown below. Complete parts a through c. 1. With persuasion: "Students in programs such as Engineering, Law, and Business typically get high-paying jobs after they graduate. Do you support or oppose students in these programs paying more tuition because they have higher earning potential?" 2. Without persuasion: "Do you support or oppose students in these programs paying more tuition?" g Click the icon to view a breakdown of the student's data. a. What percentage of those persuaded oppose differential tuition fees? 15.7 % (Type an integer or decimal rounded to one decimal place as needed.) b. What percentage of those not persuaded oppose differential tuition fees? |:|% {Type an integer or decimal rounded to one decimal place as needed.) Data Tables E_ With Persuasion Without Persuasion Support \" \"-_ am With Persuasion Without Persuasion support _I_ _ Alarge collection of one-digit random numbers should have about 50% odd and 50% even digits because ve of the ten digits are odd (1, 3, 5, 7, and 9) and ve are even (0, 2, 4, 6, and 8). a. Find the proportion of odd-numbered digits in the following lines from a random number table. Count carefully. 20669 18922 20723|E 40167 50420 51296 b. Does the proportion found in part a represent 6 (the sample proportion) or p (the population proportion)? c. Find the error in this estimate, the difference between B and p (or B - p). a. The given random number table consists of 36.67 % odd-numbered digits. (Round to two decimal places as needed.) b. Does the proportion found in part a represent 6 (the sample proportion) or p (the population proportion)? '3' B (the sample proportion) p (the population proportion) c. Find the error in this estimate, the difference between B and p (or B - p). Error = |:|% (Round to two decimal places as needed.) According to a candy company, packages of a certain candy contain 25% orange candies. Suppose we examine 150 randomly selected candies. a. What percentage of the sample should we expect to be orange candies? b. What is the standard deviation? c. Use your answers to ll in the blanks below. We expect _% of orange candies. give or take %. a. We should expect 25 % of the candies in the sample to be orange. (Type an integer or a decimal. Do not round.) b. What is the standard deviation? SD=D (Round to three decimal places as needed.) According to a candy company, packages of a certain candy contain 16% orange candies. Find the approximate probability that the random sample of 200 candies will contain 20% or more orange candies. Using a Normal approximation, what is the probability that at least 20% of 200 randomly sampled candies will be orange? P (62 0.2) = D (Round to three decimal places as needed.) In a 2008 survey, people were asked their opinions on astrology-whether it was very scientific, somewhat scientific, or not at all scientific. Of 1431 who responded, 75 said astrology was very scientific. a. Find the proportion of people in the survey who believe astrology is very scientific. b. Find a 95% confidence interval for the population proportion with this belief. c. Suppose a TV news anchor said that 5% of people in the general population think astrology is very scientific. Would you say that is plausible? Explain your answer. . . . . . a. The proportion of people in the survey who believe astrology is very scientific is 0.0524 . (Round to four decimal places as needed.) b. Construct the 95% confidence interval for the population proportion with the belief that astrology is very scientific. ((Round to three decimal places as needed.)