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# Percentage

Posted on 2016-07-29
Medium Priority
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Can you please explain it how these answers are calculated? Thanks.

(a) 6.608 (approx 7)
(b) 0.0045
(c) 0.0036
(d) B

A center that studies voting in a particular country indicated that 59% of the voting-age voters cast ballots in a presidential election. It also indicated in the west, 39.9% of voting-age voters voted for a Democrat as a representative, an increase from 36.1% in the previous
election. A start-up company in the western region of the country has 10 employees. Use this information to complete parts a through d.

a. How many of the employees would you expect to have voted for a Democrat as a representative
____ (Type an integer or a decimal.)

b. All of the employees indicated that they voted in the presidential election. Determine the probability of this assuming they followed the
national trend. ____ (Round to four decimal places as needed.)

c. Nine of the employees voted for a Democratic representative. Determine the probability that at least 9 of the employees would vote for
the Democrat if they followed the national trend. ____ (Round to four decimal places as needed.)

d. Based on your calculations in parts b and c, do the employees reflect the national trend  Support your answer with statistical
calculations and reasoning.

A. No, because the probabilities found in parts b and c are very small, which means that the assumption that the employees followed the

national trend is not valid.
B. Yes, because the probabilities found in parts b and c are very small, which means that the assumption that the employees followed the

national trend could be valid.
C. Yes, because the probabilities found in parts b and c are not that small, which means that the assumption that the employees followed
the national trend could be valid.

D. No, because the probabilities found in parts b and c are not that small, which means that the assumption that the employees followed
the  national trend is not valid.
0
Question by:mustish1
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LVL 24

Expert Comment

ID: 41735380
The first answer doesn't seem correct to me. I reckon that it;s nearer 2
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Author Comment

ID: 41735385
Can you please explain it, how you get this number.
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Accepted Solution

Eirman earned 2000 total points
ID: 41735464
Can you please explain it, how you get this number.
i answered A based on the previous information (Data in Question B is not relevant to Question A)

If 59% voted countrywide, that's about 6 out of 10 employees who actually voted.
If they all (100%) voted democrat, the answer would be 6.

But .....
On average, less than half (40%) voted Democrats countrywide.
When you apply this average to the 6 who voted, 2 is the nearest integer when you do the math.

(I am of course assuming that everyone who works for the company is of voting age)
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LVL 24

Expert Comment

ID: 41735477
Question B is worded strangely ....
If they all voted, they could not be following the national trend (who they voted for is not relevant here)
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Author Closing Comment

ID: 41735731
Thanks.
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