Respuesta :
At a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, the value of a margin of error of x is 1.534%.
In the given question, at a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, with a margin of error of x, then we have to explain how should we interpret that.
The given confidence interval = 95%.
We can write it as CI = 0.95.
An approval rating is 55%.
We can write it as(p) = 0.55
A margin of error is x.
Let the value of sample size n = 1000.
So the margin of error;
ME = z× {p(1-p)}/√n
The value of z for confidence interval of 95% is 1.96.
Now putting the value
x = 1.96× {0.55(1-0.55)}/√1000
x = 1.96× {0.55×0.45}/31.623
x = 1.96× 0.2475/31.623
x = 1.96×0.00783
x = 0.01534
x = 1.534%
So the margin of error should be 1.534%.
To learn more about confidence interval link is here
brainly.com/question/29657444
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The right question is:
At a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, with a margin of error of x, how should you interpret that?
