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Answer:
The error bound is 3.125%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
A sample of 506 California adults.. This means that .
76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. This means that
We wish to construct a 90% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The error bound of the confidence interval is the division by 2 of the subtraction of the upper limit by the lower limit. So:
The error bound is 3.125%.