When 2251 voters were polled, 52% said they were voting yes on an initiative measure. find the margin of error and an interval that is likely to contain the true population proportion. ±2.1%; between 49.9% and 54.1% ±21%; between 31% and 73% ±4.7%; between 47.3% and 56.7% ±47.4%; between 4.6% and 99.4%?

The margin of error for a sample proportion is given by

where: is the z score associated with the confidence level, p is the sample prortion and n is the sample size.
We assume a confidence level of 95%, then
p = 52% = 0.52 and n = 2251

Therefore, margin of error =
 

The the interval that is likely to contain the true population proportion is between 49.9% and 54.1%.

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