Example 8.18There are two candidates in a presidential election: Candidate A and Candidate B. LetO be the portion of people who plan to vote for Candidate A. Our goal is to find aconfidence interval for 0. Specifically, we choose a random sample (with replacement)of n voters and ask them if they plan to vote for Candidate A. Our goal is to estimatethe 0 such that the margin of error is 3 percentage points. Assume a 95% confidencelevel. That is, we would like to choose n such thatP(X - 0.03 <0 < X +0.03) > 0.95,where X is the portion of people in our random sample that say they plan to vote forCandidate A. How large does n need to be?

Answered: Image /qna-images/answer/e29c8d4e-a58f-48fd-b099-7072e2c05583.jpg

Answered: Example 8.18 There are two candidates…

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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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 that 6 people sign up for a weight loss program. You collect their weights before and after the program: The lower bound for the 95% Confidence Interval is ........... (round your answer to three decimal places). Person Before After 1 136 125 2 205 195 3 157 150 4 138 140 5 175 165 6 166 160
4. Ten students on a low-fat diet designed to lower their cholesterol and recorded their before and after diet data in the following table: Before diet cholesterol level: After diet cholesterol level: 140 140 220 230 110 120 240 220 200 190 180 150 190 200 360 300 280 300 260 240 Based on a 95% confidence level, after hypothesis testing, what would you tell the students about the diet? Does the null hypothesis reject H0 or fail to reject H0?
Suppose we have the results of a Gallup survey (simple random sampling) which asks participants for their opinions regarding their attitudes toward technology. Based on 1500 interviews, the Gallup report makes confidence statements about its conclusions. If 64% of those interviewed favored modern technology, we can be 95% confident that the percent of those who favored modern technology is a 95% of 64%, or 60.8% b 95%  3% c 64% d 64%  3%
Suppose we randomly select n=2000 Douglas College students and we find that 205 of these students are left-handed. What is the 95% confidence interval for p= the proportion of left-handed students at Douglas? Fill in the blanks (round to three decimal places):  We are 95% confident that p is between  and .
A state legislator wants to determine whether his voters' performance rating (00 - 100) has changed from last year to this year. The following table shows the legislator's performance from the same ten randomly selected voters for last year and this year. Use this data to find the 80% confidence interval for the true difference between the population means. Assume that the populations of voters' performance ratings are normally distributed for both this year and last year. Rating (last year) 92 46 75 62 57 75 77 74 65 65 Rating (this year) 94 56 62 66 43 84 92 72 68 81 Copy Data Step 2 of 4 :   Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
2. Bob draws a simple random sample from an extremely large population of lemons. The sample size is n=700 and in the sample 250 lemons turn out to be good and 450 lemons turn out to be bad. Find the 95% confidence interval for the population proportion p of good lemons.
6. A researcher takes a sample of people, and asks them how they would vote for president. When she creates her confidence interval, she has a standard error of .082. If she wanted to get a smaller standard error, what could she do? Group of answer choices Ask a different research question. Take a smaller sample. Take a larger sample. None of the above would create a smaller standard error.
A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 55 of the 715 randomly selected people who were surveyed agreed with this theory. a. With 99% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between and Round to 3 decimal places. b. If many groups of 715 randomly selected people are 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 all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about percent will not contain the true population proportion. Hint: Hints Video Textbook Question Help: D Post to forum Submit Question 2 w』の NOV 12 3D
A random sample of 388 married couples found that 280 had two or more personality preferences in common. In another random sample of 574 married couples, it was found that only 20 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common. (a) Find a 90% confidence interval for p1 – p2. (Use 3 decimal places.) lower limit upper limit
A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 69 of the 762 randomly selected people who were surveyed agreed with this theory. a. With 99% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between _____ and _____ . b. If many groups of 762 randomly selected people are 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 all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about _______ percent will not contain the true population proportion.
A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 51 of the 835 randomly selected people who were surveyed agreed with this theory. a. With 99% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between and b. If many groups of 835 randomly selected people are 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 all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about percent will not contain the true population proportion.

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