Recall from In-Class Activity 9.C: Sampling Distribution of the Sample Proportion When taking many, many random samples of size n from a population distribution with proportion p : The mean of the distribution of sample proportions is p. p(1 - p) The standard deviation of the distribution of sample proportions is n if mp > 10 and n(1 - p) 2 10, then the Central Limit Theorem (CLT) states that the distribution of the sample proportions follows an approximate normal distribution with mean p and standard deviation p(1 - p) n. Is the sample size in Question 1 large enough to use the approximate distribution stated by the CLT? Hint Use the condition mp = 10 and n(1 - p) = 10. O Yes, the sample size is large enough. O No, the sample size is not large enough. Check conditions (round to four decimal places) 253 >10 253 (1 - 10 Question Help: M Message instructor CalculatorSuppose we want to estimate the proportion of college students who have a high level of stress. In a previous homework assignment, we looked at a sample of 253 college students and found that 56 ofthem had high levels of stress.1 What proportion of students in the sample had a high level of stress? Round to four decimal places. Hint 0.2213 I o' lOnyper, 5., Thacher, P., Gilbert,l., & Gradess, S. (2012). Class start times, sleep, and academic performance in college: A path analysis. Chronobr'ology international, 29(3): 318335. Question Help: E Message instructor E Calculator Submit