A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100,000 potentialdonors on their mailing list and received 4604 donations.(a) Give a 99% confidence interval for the true proportion of those from their entire mailing list who may donate.(b) A staff member thinks that the true rate is 4.3%. Given the confidence interval you found, do you find that rateplausible?(a) What is the 99% confidence interval?The 99% confidence interval is from % to %.(Round to two decimal places as needed.)

given data sample size (n) = 100000favorable outcomes (x) = 4604(a) 99% ci p. (b) is the rate 4.3%…

Answered: A philanthropic organisation sent free…

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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Similar questions

A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 4887 donations. (a) Give a 95% confidence interval for the true proportion of those from their entire mailing list who may donate. (b) A staff member thinks that the true rate is 4.8%.Given the confidence interval you found, do you find that rate plausible?
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
A survey of 240 teachers found that two-thirds of those surveyed do not live in Sydney. Can you conclude statistically that the population proportion who do not live in Sydney is less than 0.75? Use a 95% confidence interval. What is the confidence interval and is 0.75 within the interval?
A computer store near campus is stocking its shelves and wants to know the relative proportions of students who use PCs vs Macs. A random sample of 60 students is surveyed, and each student is asked whether they use a PC or Mac more often. 55% select ”PC.” (a) What is the population and what is the sample in this study? (b) Calculate a 95% confidence interval for the proportion of UCI students that are PC users. (c) Provide an interpretation of this confidence interval in the context of this problem. (d) The confidence interval is pretty wide and leaves a lot of uncertainty over the proportion of UCIundergarduates who use PCs. With the goal to estimate a narrower 95% confidence interval, what is a simple change to this study that you could suggest for the next time that a similar survey is conducted?
During a flu vaccine shortage in the United States, it was believed that 45 percent of vaccine-eligible people received flu vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. (a) Construct a 99 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine. Use your confidence interval to comment on the belief that 45 percent of the vaccine-eligible people had received flu vaccine. (b) Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 99 percent confidence interval for the proportion of people who will have received flu vaccine is to be constructed. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.02 ?
A sample of 90 WCC students found that 57 of them were female. (a) Find a point estimate for the percentage of all WCC students that are female. (b) Find the 95% margin of error for the estimate. (c) Make a 95% confidence interval for the percentage of all WCC students that are female. Interpret the interval
A national polling organization conducted a survey asking people whether they would consider buying an electric car if petrol prices continue to rise. In the low-income sample of 200 people asked, 175 said they would not buy an electric car no matter how high petrol prices rise. In the high-income sample of 200 people asked, 127 responded the same. The 95% confidence interval for the difference in proportion of low income people and high income people who would never consider buying an electric car no matter how high the price of petrol got (rounded off to three decimals) is: A. [0.173 : 0.307] B. [0.145 : 0.335] C. [0.159 : 0.321] D. [0.172 : 0.308]
How to calculate a 90% confidence interval?
The Pizza Shop wanted to determine what proportion of its customers ordered only cheese pizza. Out of 80 customers surveyed, 15 ordered cheese pizza. They want a 99% confidence interval of the true proportion of customers who order only cheese pizza. What is the 99% confidence interval of the true proportion of customers who order only cheese pizza? (0.075, 0.300) (0.115, 0.260) (0.086, 0.289) (0.102, 0.273)
A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 5331 donations. (a) Give a 95% confidence interval for the true proportion of those from their entire mailing list who may donate. (b) A staff member thinks that the true rate is 5.6%. Given the confidence interval you found, do you find that rate plausible? (a) What is the 95% confidence interval? The 95% confidence interval is from nothing% to nothing%. (Round to two decimal places as needed.) (b) Given the confidence interval you found, is the proposed true rate, 5.6%, plausible?
(b) A sample of 1200 network engineer job applications included 720 are from expatriates. Find the 90% confidence interval of the true proportion of expatriates who applied for the job.
in a poll, 73% of California adults (367 out of 506 surveyed) believe that education is one of the main issues facing California. We want to construct a 90% confidence interval for the true proportion of California adults who believe that education is one of the main issues facing California.- I need help with finding a 90% confidence interval for the population proportion (I also have to round the answer to three decimal places)

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