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
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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