The fraternities and sororities at Algebra University have been plagued by declining membership over the past several years and want to know if the incoming first-year students will be a fertile...

The fraternities and sororities at Algebra University have been plagued by declining membership over the past several years and want to know if the incoming first-year students will be a fertile recruiting ground. Not having enough money to survey all 1,600 first-year students, they commission you to survey the interests of a random sample. You find that 35 of your 150 respondents are “extremely” interested in social clubs. At the 95% level, what is your estimate of the number of first-year students, who would be extremely interested?