A sample of 80 graduates is drawn. a) By the CLT, p^ the sample proportion of college students that graduated with a student loan debt has a mean of       ["", "", "", ""]  and a standard deviation of       ["", "", "", ""]  . Using part a: b) The probability that less than 70% of the college students in the sample had student loan debt is P(p^<0.7) =      ["", "", "", ""]  c) P(0.672

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The institute for College Access and Success reported that 68% of college students in a recent year graduated with student loan debt. A sample of 80 graduates is drawn.

a) By the CLT, p^ the sample proportion of college students that graduated with a student loan debt has a mean of       ["", "", "", ""]  and a standard deviation of       ["", "", "", ""]  .

Using part a:

b) The probability that less than 70% of the college students in the sample had student loan debt is P(p^<0.7) =      ["", "", "", ""] 

c) P(0.672<p^<0.695) =      ["", "", "", ""] 

 

 

2.

A Let n=65        p=   86%    p^ : sample proportion. 

a) Since n⋅p=  ≥10  and n(1−p) = ≥10 , the CLT holds for the sample proportion p^. Round the answers to the next whole number.

b) p^~ Normal (μp^ = % ,  σp^ = ). Round the standard deviation to three decimal  places.

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