**Question 2: Confidence Interval Analysis**A 95% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($138,390, $176,345). To make more useful inferences from the data, it is desired to reduce the width of the confidence interval. **Question:** Which of the following will result in a reduced interval width?- Increase the sample size and increase the confidence level.- Decrease the sample size and increase the confidence level.- Decrease the sample size and decrease the confidence level.- Increase the sample size and decrease the confidence level. **Discussion:**To reduce the width of the confidence interval, one effective strategy is to increase the sample size, as larger samples tend to produce more precise estimates with narrower intervals. Additionally, reducing the confidence level can also narrow the interval since it allows for a trade-off with certainty. The combination of these actions will impact the interval width significantly.

Confidence interval give a range of values for the unknown parameter of the population. Confidence…

Answered: 2. A 95% confidence interval for the…

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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Refer to the following scenario. An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 331 people living in East Vancouver and finds that 40 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.03. How large a sample should she take to achieve this? Sample size =
From a lake, an unknown proportion of fish have been tagged. You collect a sample of 100 fish taken from a lake, 57 fish in your sample are tagged. Based on this, construct a 90% confidence interval for the percentage of tagged fish in the lake.
. An educator was trying to determine the effect of remote learning on middle school aged children. They randomly selected 250 students who spent a full year with in person learning and 190 of them showed similar or improved scores on a set of metrics. They also randomly selected 350 student who spent the year remotely learning and 252 of them showed similar or improved scores.a. Construct a 95% confidence interval for the difference of proportions? b. Based on the confidence interval can you conclude there is adifference between the two groups?
Refer to the following scenario. An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 339 people living in East Vancouver and finds that 33 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.04. How large a sample should she take to achieve this? Sample size=?
If n=300 and x=60, construct a 99% confidence interval estimate for the population proportion.
The figure to the right shows the results of a survey in which 997 adults from Country A, 1022 adults from Country B, 1013 adults from Country C, 1011 adults from Country D, and 1008 adults from Country E were asked whether national identity is strongly tied to birthplace. Construct a 95%confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed. The 95% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is ,. (Round to three decimal places as needed.) Country A 37% Country B 18% Country C 27% Country D 46% Country E 11 %
4. A recent survey of 349 people ages 18 to 29 found that 86% of them own a smartphone. Find the 99% confidence interval of the population proportion.
Find the sample size, n, needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.06 margin of error, use confidence level of 90%, and use results from a prior poll suggesting that 14% of adults have consulted fortune tellers. n = (Round up to the nearest integer.)
2.) A survey of 200 college students revealed that 160 of them eat dessert daily. Construct a 95% confidence interval for the population proportion of college students who eat dessert daily. Can we claim that 75% eart dessert daily?
CNN is conducting a poll, and wants to produce a 90% confidence interval for the proportion of all New York residents who favor legalizing recreational marijuana. Of the 602 randomly selected New Yorkers surveyed, 394 were in favor of the initiative. a. With 90% confidence, the proportion of New York residents who favor legalizing recreational marijuana is between BLANK and BLANK. b. Suppose that we survey 602 randomly selected Americans many times, and calculate a confidence interval for each group. About Blank . percent of these confidence intervals will contain the true population proportion of New Yorkers who favor legalizing recreational marijuana, and about BLANK percent will not contain the true population proportion.
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 New York Times conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. to estimate the proportion of 13- to 17-year-olds who have a television in their room. We can consider the sample to be a simple random sample. Of these 1048 teenagers, 692 had a television in their room. Give a 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll, and interpret what your interval means in context. State: Plan: Do: Conclude:

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