In the upcoming governor's election,the most recent poll,based on 900 respondents,predicts that the incumbent will be reelected with 55 percent of the votes.What is $\sigma _ { \bar { X } }$
?
A).00825
B).0166
C).0247
D).0003

Question

Quizplus · Accepted Answer

To find the standard error, we use the formula:

$\sigma _ { \bar { X } } = \frac{\sigma}{\sqrt{n}}$

where $\sigma$ is the population standard deviation, n is the sample size, and $\sqrt{n}$ is the square root of the sample size.

Since we are not given the population standard deviation, we will use the sample standard deviation as an estimate. Because we do not have any information about the sample standard deviation, we can assume that it is equal to 0.5 (maximum variability).

Then, substituting the given values, we get:

$\sigma _ { \bar { X } } = \frac{\sigma}{\sqrt{n}} = \frac{0.5}{\sqrt{900}} = 0.5/30 = 0.0166$

Therefore, the answer is (B) 0.0166.

In the Upcoming Governor's Election,the Most Recent Poll,based on 900 σXˉ\sigma _ { \bar { X } }σXˉ​

In the Upcoming Governor's Election,the Most Recent Poll,based on 900 $\sigma _ { \bar { X } }$