Answer: To create a 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night, we can use the following formula:
CI = p ± z*(sqrt((p*(1-p))/n))
where:
p = proportion of college students who get 8 or more hours of sleep per night (356/2282 = 0.1559)
n = sample size (2282)
z = z-score corresponding to the desired level of confidence (for a 95% confidence level, z = 1.96)
Substituting the given values, we get:
CI = 0.1559 ± 1.96*(sqrt((0.1559*(1-0.1559))/2282))
CI ≈ (0.1301, 0.1818)
Rounding to four decimal places, the 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.1301, 0.1818).