Related questions
Candidates for political office realize that different levels of support among men and women may be a crucial factor in determing the outcome of an election. One candidate finds that 52% of 473 men polled say they will vote for him, but only 45% of the 522 women in the poll express support.
a) Write a 95% confidence interval for the percent of male voters who may vote for this candidate. Interpret you interval.
b) Write a 95% confidence interval for the percent of female voters who may vote for him. Interpret your interval.
c) Do the intervals for males and females overlap? What do you think this means about the gender gap?
d) Find a 95% confidence interval for the difference in the proportions of males and females who will vote for this candidate. Interpret your interval.
e) Does this interval contain zero? What does that mean?
f) Why do the results in parts c and eseem contradictory ? If we want to see if ther is a gender gap among voters with repect to this cndidate, which is the correct approach? Why?
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps with 1 images
n1=473p^1=0.52n2=522p^2=0.45
d) Find a 95% confidence interval for the difference in the proportions of males and females who will vote for this candidate. Interpret your interval.
e) Does this interval contain zero? What does that
f) Why do the results in parts c and eseem contradictory ? If we want to see if ther is a gender gap among voters with repect to this cndidate, which is the correct approach? Why?
n1=473p^1=0.52n2=522p^2=0.45
d) Find a 95% confidence interval for the difference in the proportions of males and females who will vote for this candidate. Interpret your interval.
e) Does this interval contain zero? What does that
f) Why do the results in parts c and eseem contradictory ? If we want to see if ther is a gender gap among voters with repect to this cndidate, which is the correct approach? Why?
- A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 9% margin of error at a 90% confidence level, what size of sample is needed?arrow_forwardA research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=935 and x=561 who said "yes." Use a 95% confidence level.arrow_forwardA team of researchers would like to determine whether the number of households that use the internet for more than an hour a day is greater in large cities or small towns. To do so, the researchers take two random samples. The first sample consists of randomly selected people who live in cities with more than 500,000 people around the country. The second sample consists of randomly selected people who live in towns with fewer than 20,000 people. Are these samples dependent or independent? Select the correct answer below: O These samples are independent. O These samples are dependent. Not enough information is provided to determine independence.arrow_forward
- please help.arrow_forwardConstruct 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)arrow_forward2. An experiment showed that 52 teenage subjects dreamed in black and white & 175 of them dreamed in colors. Another study on old-age adults showed that 5 dreamed in black and white & 40 of them dreamed in colors. Find the 95% confidence interval for the difference between the rates who dreamed in black and white and those in colors. please show how to solve it. no excel please.arrow_forward
- A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 3% margin of error at a 98% confidence level, what size of sample is needed? The political candidate will need to sample people.arrow_forwarda) Determine 95% and 99% confidence limits for the proportion male students who feel “wealthwas necessary for happiness.” b) Determine 95% and 99% confidence limits for the proportion female students who feel “wealthwas necessary for happiness.” c) Determine 95% and 99% confidence limits for the difference in proportions between male students and female students who feel “wealth was necessary for happiness.” I have only posted three subparts as you allow only three subparts of question.arrow_forwardIndependent random samples of 100 east-side residents and 120 west-side residents of a large city were asked whether they will vote for candidate Jones in an upcoming election. Of the 100 east-side residents, 70 said they plan to vote for Jones. Of the 120 west-side residents, 72 said they plan to vote for Jones. In the calculation of a 90% confidence interval for the difference in the proportion of east-side and the proportion of west-side residents that will vote for candidate Jones, which of the following is the margin of error? (A) 1.28 (0.7)(0.3) (0.6)(0.4) 100 120 (B) 1.645 (0.7)(0.3) (0.6)(0.4) 100 120 (C) 1.96 + (0.7)(0.3) (0.6)(0.4) 100 120 142 78 1 1 (D) 1.645 + 220 220 100 120 142 78 1 1 (E) 1.96 + 220 220 100 120arrow_forward
- A political researcher takes a survey of 310 randomly selected registered voters in Orlando, and each person was asked who they plan on voting for in the 2024 presidential election. 110 said they plan on voting for Candidate A, 185 said they plan on voting for Candidate B, and 15 were unsure or plan to vote for another candidate. The researcher wants to construct a 95% confidence interval for the proportion of all registered voters in Orlando who plan to vote for Candidate B. What is the point estimate? Round final answer to 3 decimal places.arrow_forwardA statistics professor at a major university asked her students whether or not they wereregistered to vote. In a sample of 50 of the randomly sampled statistics students (from over1000 students), 35 said they were registered to vote. Find a 98% confidence interval and makea conclusion based upon those results.arrow_forwardThe last poll of 144 voters in Iowa shows that 19% of voters will vote for him in the Iowa Presidential Caucus. What is the 99% confidence interval of his support level in Iowa?arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman