Some of my cursed images what do u think
1 answer:
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Answer:
They need to survey 4145 residents.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
The margin of error is given by:
99% confidence level
So , z is the value of Z that has a p-value of
, so
.
At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?
This is n for which . As we have no estimate for the proportion, we use
. So
Rounding up:
They need to survey 4145 residents.