One of the computer companies imported a shipment of computers. Theexporting company pledged that the percentage of defective devices wouldnot exceed 6%. A random sample of 180 devices was chosen and it wasfound that there were 20 defective devices with a confidence rate of 97%.Find the confidence interval for the percentage of defective devices in theentire shipment and comment on the result

A computer company has imported a shipment of devices, and the exporting company has pledged that…

Answered: One of the computer companies imported…

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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A university health services physician is concerned about how much sleep freshman are getting. She asked a simple random sample of 100 students if they got at least 8 hours of sleep the previous night. then she constructs a 90% confidence interval for the true proportion of all freshman college students who got at least 8 hours of sleep the previous night. Explain what would happen to the width of the interval if the sample size would decrease to 25 students
A recent survey showed that 42% of US employers were likely to require higher employee contributions for health care coverage. Suppose the survey was based on a sample of 500 companies. Find the 99% confidence interval for the proportion of all companies likely to require higher employee contributions for health care coverage. (Round to four decimal places)
Ms. Rains believes more seniors from PLD plan to attend college than seniors at Lafayette. In a random sample of 35 PLD seniors, 21 responded they plan to attend college. In a random sample of 32 Lafayette seniors only 17 responded they plan to attend college. Using a 95% confidence interval, predict the true difference in the proportion of seniors at PLD and Lafayette who plan to attend college and comment on Ms. Rains' belief.
A flower shop owner wants to estimate the proportion of people who enter the store that make a purchase. They want a 95% confidence interval on the proportion of people who enter the store that make a purchase with a margin for error of 0.04 or 4%. Their partner estimates that 20% (a proportion of 0.2) of the people who enter the store make a purchase so the owner will use that value when determining the sample size. What sample size should the flower shop take?
A random sample of n₁ = 217 people who live in a city were selected and 106 identified as a "dog person." A random sample of n₂ = 114 people who live in a rural area were selected and 66 identified as a "dog person." Find the 90% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. < P1 P2 <
A random sample of n1 = 213 people who live in a city were selected and 80 identified as a "dog person." A random sample of n2 = 98 people who live in a rural area were selected and 61 identified as a "dog person." Find the 90% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. Рі — Р2
In a random sample of 400 adults in a small town, 189 of them participated in some form of adult education. Find a 98% confidence interval for the population proportion of adults in the town who participate in adult education
A random sample of n₁ = 224 people who live in a city were selected and 90 identified as a "dog person." A random sample of n₂ = 95 people who live in a rural area were selected and 61 identified as a "dog person." Find the 95% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. P1 P2
A statistical study is made to compare the % of smokers in small rural towns to the overall smoking rate of the US. Of 1500 asults selected randomly from small towns it is found that 285 of them smoke. With a cofidence interval of (017, 0.21). The CDC reports that 15.1% of all American adults smoke. Does the confidence interval suggest that smoking rate is higher in small towns than in the country overall?
A newspaper article reported that 400 people in one state were surveyed and 70% were opposed to a recent court decision. The same article reported that a similar survey of 500 people in another state indicated opposition by only 40%. Construct a 95% confidence interval of the difference in population proportions based on the data.
A random sample of high school seniors were asked whether they were applying for college. The resulting confidence interval for the proportion of students applying for college is (0.65,0.69). What is the margin of error?
A recent survey of two countries in South America reports on data about foreign-born citizens. Of 500 randomly selected people in Peru, 125 reported as being born in another country; meanwhile, 75 of 800 randonly selected Argentinians reported as being foreign-born. Use this information to create a 95% confidence interval for the true difference in proportions of foreign born citizens between Peru and Argentina.

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