st ExpresswayTwo separate surveys were carried out to investigate whether the users of Eastare in favor of raising the speed limit on highways. From 250 car drivers interviewed, 30 were notin favor of raising the speed limit. While among 200 motorcyclists interviewed, 20 were not infavor of raising the speed limit. Find a 93% confidence interval for the difference of populationproportion between the car drivers and motorcyclists who are in favor of raising the speed limit.Interpret the interval.

Given that Favorable Cases 1 (X_1)(X1) = 3030 Sample Size 1 (N_1)(N1) = 250250 Favorable…

Answered: Two separate surveys were carried out…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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What is meant by the sample space of an experiment?
A local newspaper in a large city wants to assess support for the construction of a highway bypass around the central business district to reduce downtown traffic. They survey a random sample of 1152 residents and find that 543 of them support the bypass. Construct and interpret a 95% confidence interval to estimate the proportion of residents who support construction of the bypass.
An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of students at the school who regularly recycle plastic bottles. The teacher selected a random sample of students at the school to survey. Each selected student went into the teacher’s office, one at a time, and was asked to respond yes or no to the following question. Based on the responses, a 95 percent confidence interval for the proportion of all students at the school who would respond yes to the question was calculated as (0.584, 0.816 ). (b) Given the method used by the environmental science teacher to collect the responses, explain how bias might have been introduced and describe how the bias might affect the point estimate of the proportion of all students at the school who would respond yes to the question.
An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of students at the school who regularly recycle plastic bottles. The teacher selected a random sample of students at the school to survey. Each selected student went into the teacher’s office, one at a time, and was asked to respond yes or no to the following question. Based on the responses, a 95 percent confidence interval for the proportion of all students at the school who would respond yes to the question was calculated as (0.584, 0.816 ). (a) How many students were in the sample selected by the environmental science teacher?
An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of students at the school who regularly recycle plastic bottles. The teacher selected a random sample of students at the school to survey. Each selected student went into the teacher’s office, one at a time, and was asked to respond yes or no to the following question. Based on the responses, a 95 percent confidence interval for the proportion of all students at the school who would respond yes to the question was calculated as (0.584, 0.816 ). (c) The statistics teacher at the high school was concerned about the potential bias in the survey. To obtain a potentially less biased estimate of the proportion, the statistics teacher used an alternate method for collecting student responses. A random sample of 300 students was selected, and each student was given the following instructions on how to respond to the question. • In private, flip a fair coin. • If heads, you…
A Roper Starch survey asked employees ages 25 to 34 whether they would prefer better health insurance or a raise in salary. Of the 500 employees surveyed, 340 said they would prefer better health insurance. Using this sample information, develop a 98% confidence interval for the true proportion of employees who would prefer better health insurance.
During a flu vaccine shortage in the United States, less than a majority ofpeople were able to receive the 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 and interpret a 95 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine.
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 125 of them are receiving financial aid. Use a 95% confidence interval to estimate the population proportion of students who receive financial aid.
When a recent survey asked subjects whether it should or should not be the government's responsibility to impose strict laws to make industry do less damage to the environment, 1400 of 1496 subjects said yes. Construct the 95% confidence interval. Can you conclude whether or not a majority or minority of the population would answer yes?
In order to judge the effectiveness of an advertising campaign for a certain brand of pretzel, a company obtained a simple random sample of 95 convenience store receipts the week before the ad campaign began, and found that 28 of them showed a purchase of the pretzels. Another simple random sample of 65 receipts was taken the week after the ad campaign, and 33 of them showed a pretzel purchase. Construct a 98% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Interpret the results. A marketing manager claims that the proportion of customers who purchased pretzels did not change after the ad campaign. Does the confidence interval contradict this claim?
In 2003, an organization surveyed 1,500 adult Americans and asked about a certain war, "Do you believe the United States made the right or wrong decision to use military force?" Of the 1,500 adult Americans surveyed, 1,085 stated the United States made the right decision. In 2008, the organization asked the same question of 1,500 adult Americans and found that 570 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions, p2003−p2008.
In response to a recent GSS survey on whether the Governmentshould impose strict laws to prohibit industries from damaging the environment, 1093 out of1232 subjects said "yes."The 95% confidence interval for p, the population proportion who would say "yes" is

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