There are 2,000 eligible voters in a precinct. 548 of the voters are randomly selected and asked whether they planned to vote for the democratic incumbent or the republican challenger. of the 548 surveyed, 474 said they would vote for the democratic incumbent. using the 0.99 confidence coefficient, what are the confidence limits for the proportion that plan to vote for the democratic incumbent?

Answers

Answer 1

Sample size, n = 548
Point estimate, p = 474/548 = 0.865 or 86.5%
Z at 0.99 confidence coefficient = 2.58

Confidence limits = p +/- Z*Sqrt [p(1-p)/n] = 0.865 +/- 2.58 Sqrt [0.865(1-0865)/548] = 0.865 +/- 0.0378 = (0.8272,0.9028) or (82.72%,90.28)

Related Questions

the scatter plot shows the number of students per class al monida middle school and the number of magazine subscription each class sold for a fund raiser.About how many subscription did the class of 30 students sell

Answers

For this case, the first thing to do is to observe the value that the function takes on the axis y, when on the x axis we have 30 students.
We have then:
For x = 30:
The value of y is given by:
y = 175 (approximately)
Answer:
y = 175 subscriptions

From the question,
About how many subscription did the class of 30 students sell,
We need to consider the Given which is x = 30:
So The value of y is given by:
y = 175 (approximately)

So the answer would be the third option.

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