Question

days before a presidential election, a nationwide random sample of registered voters was taken. based on this random sample, it was reported that \52% of registered voters plan on voting for robert smith with a margin of error of ±3%.\ the margin of error was based on a 95% confidence level. fill in the blanks to obtain a correct interpretation of this confidence interval. we are ____ confident that the __ of registered voters __ planning on voting for robert smith is between __ and ____. we are 95% confident that the of registered voters planning on voting for robert smith is between and

Explanation:

A confidence interval gives a range of values within which we are confident the population parameter lies. Here, the confidence level is 95%, the parameter is the percentage of registered voters (since the original data is given as a percentage - 52%), and we calculate the interval as \(52\% - 3\%=49\%\) and \(52\%+ 3\% = 55\%\).

Answer:

We are \(95\%\) confident that the percentage of registered voters planning on voting for Robert Smith is between \(49\%\) and \(55\%\).