In a survey of 12001200 parents of children ages 5−125-12, 74%74\% say they check their child’s homework every evening, and 33%33\% say they lose sleep worrying about their child’s academic performance. The survey’s margin of error is ±4%\pm4\%. Translate each of these statements into a confidence interval for the true population proportion. Also, approximate the level of confidence of the survey.

(0.70,0.78)(0.70,0.78)Approximately 99.8%99.8\%

(0.70,0.78)(0.70,0.78) Approximately 95.0%95.0\%

(0.70,0.78)(0.70,0.78) Approximately 90%90\%

(0.70,0.74)(0.70,0.74)Approximately 99.9%99.9\%

In a survey of 12001200 parents of children ages 5−125-12, 74%74\...

Confidence Intervals for Population Proportion: Videos & Practice Problems