College smokers#

We are interested in estimating the proportion of students at a university who smoke. Out of a random sample of 269 students from this university, 34 students smoke.

Part 1: (a)#

Calculate the lower bound of a 95% confidence interval for the proportion of students at this university who smoke. (Reminder: Check conditions.)

Answer Section#

Please enter in a numeric value.

Part 1: (b)#

Calculate the upper bound of a 95% confidence interval for the proportion of students at this university who smoke.

Answer Section#

Please enter in a numeric value.

Part 1: (c)#

In one sentence interpret this interval in context.

Answer Section#

Please enter in a text response.

Part 2#

If we wanted the margin of error to be no larger than 3% at a 95% confidence level for the proportion of students who smoke, how big of a sample would we need?

Answer Section#

Please enter in a numeric value.

Attribution#

Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.