![Naysa150724](/avatars/14933.jpg)
Naysa150724
04.04.2020 •
Mathematics
Throughout the US presidential election of 2012, polls gave regular updates on the sample proportion supporting each candidate and the margin of error for the estimates. This attempt to predict the outcome of an election is a common use of polls. In each case below, the proportion of voters who intend to vote for each candidate is given as well as a margin of error for the estimates. Indicate whether we can be relatively confident that candidate A would win if the election were held at the time of the poll. (Assume the candidate who gets more than of the vote wins.)
Solved
Show answers
More tips
- C Computers and Internet How to Choose a Laptop: Expert Guide and Tips...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
Answers on questions: Mathematics
- M Mathematics Which best describes the spread of a set of data that has an interquartile range of 14 and a mean absolute deviation of 6 a the average distance of all data values from the mean is...
- M Mathematics Find 7.4% of 20. a. 148 b. 14.8 c. 2.70 d. 1.48...
- M Mathematics Which of the following is true? a.perpendicular lines never intersect each other. b.parallel lines always intersect each other .c.parallel lines are always in the same plane. d.perpendicular...
- M Mathematics Explain how to solve a quadratic equation. give an example...
- M Mathematics Which of the following is equivalent to the expression below? (-3m+5)+(m-11) a. 4m-16 b.-4m-6 c. 2m-16 d. -2m-6...
- M Mathematics Anumber is rolled what is the probability of 2, then 2...
- M Mathematics Measures of central tendency are called such because a. they all find a different center of a data set. b. they all find approximately the same center of a data set. c. they are all...
- M Mathematics Find the area of the figure. all angles in the figure are right angles. a. 72 mm2 b. 57 mm2 c. 54 mm2 d. 52 mm2...
- M Mathematics Earth’s diameter is approximately 12,760,000 meters. what is that number in scientific notation? 1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108...
- M Mathematics A. x=30 both angles are 150 degrees b. x=20 labeled angles are 80 degrees and 100 degrees c. x=20 both labeled angles are 90 degrees d. x= 30 both labeled angles are 120 degrees !...
Ответ:
1.) We cannot say for certain which candidate will win. But A has a statistical edge.
2.) We can say certainly that candidate A will win the election; albeit with a not so big margin.
3.) Candidate A will win this election based on the results of the final poll's before the election.
4.) We cannot say for certain which candidate will win. But A has a statistical edge.
The reasons are explained below.
Step-by-step explanation:
Confidence interval expresses a range of values in the distribution where the true proportion or mean can be found with some level of confidence.
Confidence Interval = (Sample Mean or Proportion) ± (Margin of error)
1. Candidate A: 54% & Candidate B:46% with Margin of error: + 5%
The confidence interval for candidate A
(54%) ± (5%) = (49%, 59%)
The confidence interval for candidate B
(46%) ± (5%) = (41%, 51%)
Since values greater than 50% occur in both intervals, we cannot say for certain that either of the two candidates will outrightly win the election. It just slightly favours candidate A who has A bigger range of confidence interval over 50% for the true sample proportion to exist in.
2. Candidate A: 52% & Candidate B:48% with Margin of error: + 1%
The confidence interval for candidate A
(52%) ± (1%) = (51%, 53%)
The confidence interval for candidate B
(48%) ± (1%) = (47%, 49%)
Here, it is outrightly evident that candidate A will win the elections based on the result of the final polls. The overall range of the confidence interval that contains the true sample proportion of voters that support candidate A is totally contained in a region that is above 50%. So, candidate A wins this one, easily; albeit with a close margin though.
3. Candidate A: 53% & Candidate B:47% with Margin of error: + 2%
The confidence interval for candidate A
(53%) ± (2%) = (51%, 55%)
The confidence interval for candidate B
(47%) ± (2%) = (45%, 49%)
Here too, it is outrightly evident that candidate A will win the elections based on the result of the final polls. The overall range of the confidence interval that contains the true sample proportion of voters that support candidate A is totally contained in a region that is above 50%. Hence, statistics predicts that candidate A wins this one.
4. Candidate A: 58% & Candidate B:42% with Margin of error: + 10%
The confidence interval for candidate A
(58%) ± (10%) = (48%, 68%)
The confidence interval for candidate B
(42%) ± (10%) = (32%, 52%)
Since values greater than 50% occur in both intervals, we cannot say for certain that either of the two candidates will outrightly win the election. It just slightly favours candidate A who has A bigger range of confidence interval over 50% for the true sample proportion to exist in.
Hope this Helps!!!
Ответ: