Joan conducted a study to see how common binge drinking is on her college campus. She defined “frequent binge drinking” as having five or more drinks in a row three or more times in the past two weeks. Out of 593 students who replied to her survey, 64 fit this criterion. What is the 99% confidence interval for this population proportion? Answer choices are rounded to the hundredths place.

0.078 to 0.138

0.075 to 0.141

0.087 to 0.129

0.083 to 0.133