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.)
Answers
Answer:
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!!!
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The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangle
Simplify by using factoring: (2a+6b)(6b−2a)−(2a+6b)^2
On a recent trip to the convenience store, you picked up 3 gallons of milk, 4 bottles of water, and 7 snack-size bags ofchips. Your total bill (before tax) was $23.40. If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $2.20 more than a bottle of water, how much does each item cost?
I’m fairly sure it’s increasing, I just can’t tell by how much
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Answer:
2(x+8)
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
If you construct a 90% confidence interval for the population proportion and a 95% confidence interval for the population proportion, the 95% confidence will have a wider interval. This is because a higher confidence interval will provide more possible values from which the true value will be determined. Therefore, If you want more confidence that an interval contains the true parameter, then the intervals will be wider.
surface area
volume
Answers
Answer:
Lateral area = 352 Square m
Surface area = 756. 3 square m
Volume = 1408 cubic m
Step-by-step explanation:
Answer:
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Answers
Answer: the probability that there are three or fewer calls in one hour is 0.011
Step-by-step explanation:
The formula for poisson distribution is expressed as
P(x = r) = (e^- µ × µ^r)/r!
Where
µ represents the mean of the theoretical distribution.
r represents the number of successes of the event.
From the information given,
µ = 10
For the probability that there are three or fewer calls in one hour, it is expressed as
P(x ≤ 3) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)
Therefore,
P(x = 0) = (e^- 10 × 10^0)/0! = 0.000045
P(x = 1) = (e^- 10 × 10^1)/1! = 0.00045
P(x = 2) = (e^- 10 × 10^2)/2! = 0.0023
P(x = 3) = (e^- 10 × 10^3)/3! = 0.0077
Therefore,
P(x ≤ 3) = 0.000045 + 0.00045 + 0.0023 + 0.0077 = 0.011
Answers
Answer:
the answer is 1,530
Step-by-step explanation:
I uses a calculator.
Final answer:
When you multiply 34 by 45, you get the number 1530. It is a fundamental mathematical action known as multiplication.
Explanation:
Your query is essentially a straightforward mathematical multiplication problem. The result of multiplying 34 by 45 is the sum of the two figures. Using standard multiplication, the answer is 1530. In general, multiplication is a fundamental operation in mathematics where a number, known as the multiplicand, is added to itself a certain number of times, denoted by the multiplier. In your case, the number 34 is added to itself 45 times to result in the final product.
Learn more about Multiplication here:
#SPJ2
B) cos(C)
C) sin(B)
D) sin(C)
Answers
cosA=AC/AB
sinB=AC/AB
hence cosA=sinB
Answer:
C).
Step-by-step explanation:
Since angles A and B are complementary, their cofunctions are equal. So, cos(A) = sin(B).