2. A university health services physician is concerned about how much sleep freshman are getting. She asks asimple random sample of 50 students if they got at least 8 hours of sleep the previous night. Then sheconstructs a 95% confidence interval for the true proportion of all freshman college students who got at least8 hours of sleep the previous night.(a) Explain what would happen to the length of the interval if the confidence level were decreased to 90%.(b) Explain what you would expect to happen to the length of the interval if the sample size was increasedto 500 students.(c) After calculating the interval, the physician realizes that the sample was drawn only from the 70% offreshman who had turned in their health forms by the time they arrived on campus. This is an exampleof undercoverage. Can she adjust the confidence interval to take this undercoverage into account? If so,how? If not, why not?

In statistical inference an investigator wants to know about the population parameters. But for…

Answered: A university health services physician…

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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Elvin wants to know how the school views him as their leader. He asked his friend, Marcus, to research it. After a week, Marcus told him that a sample of 400 schoolmates selected at random indicated that 58% of them hold him in high regard. Determine the confidence interval at 60% confidence level.
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)
Suppose you want to construct an 80% confidence interval for the proportion of businesses that provide incentives to their workers. Ifyou want a marginof error of 3.5%, how many business entities must you survey?
The question was asking for 99% confidence interval for pop
A college professor would like to estimate the proportion of students who pull an "all-nighter," meaning they study all night for an upcoming exam. She selects a random sample of 100 students from her large college and finds that the 99% confidence interval for the true proportion of students who pull an all-nighter is 0.48 to 0.62. Which of these statements is a correct interpretation of the confidence level? O Approximately 99% of all students have pulled an all-nighter. O There is a 99% probability that the true proportion of all students who pull an all-nighter is between 0.48 and 0.62. If many random samples of size 100 are selected from all students at this college, approximately 99% of the intervals would capture the true proportion who pull an all-nighter. C Approximately 99% of the sample proportions of students who pull an all-nighter, based on random samples of size 100 from the population of all students at this college, will fall between 0.48 and 0.62.
Fear of the dark is quite common among children. However, what about adults? One polling agency released the results of a survey that asked people over 30 years old if they keep the lights on at night. Among 452 respondents, 34% indeed leave the light on when going to sleep. What does this margin of error tell you about the percentage of adults who keep the lights on at night? We can be 95% confident that somewhere between % and % of adults keep the lights on at night.
if n = 42, p = 0.6 then construct the 98% confidence interval for the population proportion.
If n=470 and p̂ (p-hat) = 0.65, construct a 95% confidence interval.
You were interested in how long the average psychology major at your college studies per night, so you asked 10 psychology majors to tell you the amount they study. They told you the following times: 2, 1.5, 3, 2, 3.5, 1, 0.5, 3, 2, 4. (a) Find the 95% confidence interval on the population mean. (b) Find the 90% confidence interval on the population mean.
You read about a survey in a newspaper and find that 70% of the 250 people sampled prefer Candidate A. You are surprised by this survey because you thought that more like 50% of the population preferred this candidate. Based on this sample, is 50% a possible population proportion? Compute the 95% confidence interval to be sure?
Identify the t score for a 99% confidence interval if the sample size is 35 t=

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