If, based on a sample size of 950, a political candidate finds that 561 people would vote for him in a two-person race, what is the 95% confidence interval forhis expected proportion of the vote? Would he be confident of winning based on this poll?A 95% confidence interval for his expected proportion of the vote is(Use ascending order. Round to four decimal places as needed.)www

The problem implies that a 95% confidence interval for the expected proportion of votes has to be…

Answered: If, based on a sample size of 950, a…

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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F. A random sample of 55 voters is taken, and 28 are found to be in favour of a particular political candidate. Find and interpret a 99% confidence interval for the population proportion of people in favour of this political candidate.
A newsgroup is interested in constructing a 99% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 583 randomly selected Americans surveyed, 372 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all Americans who favor the new Green initiative is between and percent of these b. If many groups of 583 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.
A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 529 randomly selected Americans surveyed, 414 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all Americans who favor the new Green initiative is ___ between and ___. b. If many groups of 529 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About ____ percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about ___ percent will not contain the true population proportion.
Example 8.11 For a class project, a political science student at a large university wants to estimate the percent of students who are registered voters. He surveys 500 students and finds that 300 are registered voters. Compute a 90% confidence interval for the true percent of students who are registered voters, and interpret the confidence interval.
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)
In a survey of 40 students in an introductory statistics class, a professor asks how many states in the United States each student has visited. Using the data from the professor's sample, a 99% confidence interval for the average number of states all students at the professor's school have visited is found to be (6.78, 12.18). Determine whether each of the following statements is valid or invalid. You may assume that the sample is representative of all students at the professor's school. (a) We are 99% confident that the average number of states visited by the 40 students the professor surveyed is between 6.78 and 12.18. Valid Invalid (b) Based on the 99% confidence interval, there is evidence that the average number of states visited by all students at the professor's school is different from 16. Valid Invalid (c) We are 99% confident that the average number of states visited by all students at the professor's school is between 6.78 and 12.18. Valid Invalid (d)…
A recent survey of 1030 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.
A newsgroup is interested in constructing a 99% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 542 randomly selected Americans surveyed, 447 were in favor of the initiative. a. With 99% confidence the proportion of all Americans who favor the new Green initiative is between and . b. If many groups of 542 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About . percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.
You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 431 randomly selected caterpillars observed, 50 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between___ and___ . b. If many groups of 431 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About____ percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about ____ percent will not contain the true population proportion.
A local radio randomly selects 500 of its listeners. Listeners are offered to enter a competition where the price is a concert ticket. Among these 500 subscribers, 240 accept the promotional offer. The interval (45.76%, 50.23%) is a 95%-confidence interval for what quantity? a. the percentage of listeners in the sample who would accept the invitation to enter the competition b. the percentage of all listeners who would accept the invitation to enter the competition
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 425 randomly selected caterpillars observed, 55 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between ___and____ . b. If many groups of 425 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About ____ percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about _____percent will not contain the true population proportion.

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