Students in a local high school decide to estimate the propo

Students in a local high school decide to estimate the proportion of the student body (size 1,500) who are left handed. Out of a random sample of 50 students, 12% indicate they are left handed. The students obtain a 95% confidence interval for the proportion of all students at the high school are left-handed of 3% to 21%. What can we conclude about their confidence interval? The usual interpretation of the confidence interval applies: they can be 95% confident in their confidence interval. The usual interpretation of the confidence interval does not apply: they cannot be 95% confident in their confidence interval since the success failure condition is violated. The usual interpretation of the confidence interval does not apply: they cannot be 95% confidence in their confidence interval since the randomization condition is violated. The usual interpretation of the confidence interval does not apply: they cannot be 95% confidence in their confidence interval since the 10% condition is violated.

Solution

Here 95% confidence interval for the proportion of all students at the high school are left handed of 3% to 21%.

The correct option is A.

A. The usual interpretation of confidence interval applies : they can be 95% confident in their confidence interval.