Student loans: The Institute for College Access and Success reported that 65% of college students in a recent year graduated with student loan debt. A random sample of 85 graduates is drawn. Round your answers to at least four decimal places if necessary. Find the standard deviation o^p
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We are given the proportion of college students who graduated with student loan debt as 65%, or 0.65 in decimal form. We are asked to find the standard deviation of the proportion (\( \sigma_p \)) of a sample of 85 graduates. Show moreā¦
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17. Student loans: The Institute for College Access and Success reported that 68% of college students in a recent year graduated with student loan debt. A random sample of 85 graduates is drawn. a. Find the mean Ī¼pĢ. b. Find the standard deviation ĻpĢ. c. Find the probability that less than 60% of the people in the sample were in debt. d. Find the probability that between 65% and 80% of the people in the sample were in debt. e. Find the probability that more than 75% of the people in the sample were in debt. f. Would it be unusual if less than 65% of the people in the sample were in debt?
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According to a 2017 report, 53\% of college graduates in California had student loans. Suppose a random sample of 120 college graduates in California shows that 72 had college loans. (Source: Lendedu.com) a. What is the observed frequency of college graduates in the sample who had student loans? b. What is the observed proportion of college graduates in the sample who had student loans? c. What is the expected number of college graduates in the sample to have student loans if $53 \%$ is the correct rate? Do not round off.
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