1. Mr. Guo and Mr. Lange receive many spam emails every day. Theyeach randomly choose 14975 emails from their inbox. Mr. Guo findsthat 11 out of every 25 emails he selects is spam, while Mr. Langefinds that 16 out of every 25 emails he selects is spam.(a) We wish to find a central 96% confidence interval for the differencein the proportion of spam emails in each inbox. Are all conditionsmet? If not, explain why.(b) Find the z critical number associated with a central 96% confi-dence interval.(c) Construct a central 96% confidence interval for the difference inthe proportion of spam emails in each inbox.

Mr. Guo finds that 11 out of every 25 emails is spam. Sample proportion: p^1=1125=0.44 Mr. Lange…

Answered: 1. Mr. Guo and Mr. Lange receive many…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a sample of 624 applicants to the Durmstrang Institute of Sorcery, 133 were accepted. Construct a 90% confidence interval for the true proportion of applicants to Durmstrang that are accepted. Does it appear that Durmstrang accepts 20% of their applicants?
4. In a recent sample 145 of 300 students admitted to leaving their computer during an virtuallecture.(a) Construct a 90% confidence interval for actual proportion of students leaving their computer during an virtual lecture.(b) If we wanted the resulting answer to within 2%, how many MORE students should wesample assuming we have the result from the first 300?(c) If we wanted the resulting answer to within 1%, how many students should we sampleassuming we have no prior knowledge of the result?(d) Were any assumptions needed to answer the above questions. Why or why not?
Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. We want to construct a 90% confidence interval estimate for the difference between the true proportion of males who say they would return the money to their neighbor and the true proportion of females who say they would return the money to their neighbor. Choose the best option for the result of constructing that interval. O -226 < p1 -p2 < +.003 O-226 < p1 -p2 <.-.048 O -243 < p1 -p2 < -.031
Ten engineering schools in a country were surveyed. The sample contained 225electrical engineers, 80 being women; 175 chemical engineers, 40 being women. Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering. Is there a significant difference between the two proportions? Let p1 be the population proportion of electrical engineers that are women in the schools that were surveyed and let p2 be the population proportion of chemical engineers that are women in the schools that were surveyed. The 90% confidence interval is nothing<p1−p2<nothing. (Round to three decimal places as needed.)
A random sample of 500 patients with diabetes were weighed before and after switching to a new drug and the change in their weight is computed for each patient. The resulting 90% confidence interval for the average change in the weight of diabetes patients is (1, 5) expressed in pounds. Which of the following can be the 95% confidence interval generated from the same data?
Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage earners, 250 identified themselves as mid-level managers, and 160 identified themselves as executives. In the survey, 82% of manual laborers preferred trucks, 62% of non-manual wage earners preferred trucks, 54% of mid-level managers preferred trucks, and 26% of executives preferred trucks. We are interested in finding the 95% confidence interval for the percent of executives who prefer trucks. Which distribution should you use for this problem? (Round your answers to two decimal places.)
6. A researcher takes a sample of people, and asks them how they would vote for president. When she creates her confidence interval, she has a standard error of .082. If she wanted to get a smaller standard error, what could she do? Group of answer choices Ask a different research question. Take a smaller sample. Take a larger sample. None of the above would create a smaller standard error.
Jelly beans are packed in boxes of 50, and the overall proportion of black jelly beans is set by the manufacturer to be 0.2. Suppose that 10 boxes of jelly beans are selected at random, and the proportion of black jelly beans in each box determined. a Use your calculator to generate 10 values of the sample proportidn p of black jelly beans in a box. b Use your calculator to find an approximate 80% confidence interval for the population proportion p from each of these values of the sample proportion p. c How many of these intervals contain the value of the population proportion p? d How many of these intervals would you expect to contain the value of the population proportion p? e Suppose that we generate 50 approximate 80% confidence intervals for p. How many of these intervals would you expect to contain the value of the population proportion p?
A random sample of 250 SCC students yields 79 full-timers and 171 part-timers. (a)Construct a 90% confidence interval for the overall proportion of full-time students at SCC.(b)The margin of error associated with the above c.i. is_____(c)How large a sample should be selected if we want the margin of error to be 2 percentage points?
A graduate Statistic Student wants to estimate the true proportion of county college ("c.c.") students in here state who go on to receive an Associate Degree (AD ), She is able to take a random sample of n = 100 of those c.c. stuents, and 64 of those students received an AD. Find her 90% confidence interval for the true proportion of c.c. students in her state that receive an AD. Be sure to either i)Use full calculator syntax including proper label on your output or i)write down the formula, plug in the appropriate nun bers, and then give the calculated interval including a proper label. 1-prop-Z Int x: 64,n: 100, Clevel.90, interval (.56105,.71895 b. 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.66105,.71896 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.51105,.70950 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.61105,.81105 by C.
9.
2. One of the restaurants participating in Love Week wants to know proportion of Allen residents who plan on coming to their restaurant on their Love Week Spirit Night. If they plan on creating a 96% confidence interval and they want the margin of error to be no more than 3.8%, how large of a sample do they need to get? the lA lo nolh

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