A Population Proportion Is to Be Estimated from the Sample $61.9 \%$

Multiple Choice

A population proportion is to be estimated from the sample described. Approximate the 95% confidence interval. Round your answer to four decimal places, if necessary.
-A researcher wishes to estimate the proportion of left handed people among a certain population. In a random sample of 1000 people from the population, $61.9 \%$ are left-handed. Find the $95 \%$ confidence interval for the population proportion of left-handed people.

A) $0.5973 < \mathrm { p } < 0.6407$
B) $0.5874 < \mathrm { p } < 0.6506$
C) $0.6180 < \mathrm { p } < 0.6200$
D) $0.5883 < \mathrm { p } < 0.6497$