Question

QUESTION 3: For this question we will analyze data from the 2014 American Time Use Survey. The survey offers the most detailed, up-to-date portrait of how people in the United States spend their time it also offers some insight into how Americans exercise and eat. I have included all the information you need to answer this question without your needing to access the data yourself (although it is publicly available). The data are drawn from a sample of n= 11,592 but we know that the population of the United States is something like N 320 million. 1. What assumption is required in order for us to be able to draw inferences about the 320 million people living in the United States from the 11,592 individuals in this sample The ATUS asks respondents to self-report the total time (in minutes) they spend in primary eating and drinking as well as the total time they spend snacking. The sum of these two variables constitutes the total eating time in the data. The mean and standard deviation of the TOTAL EAT variable are X 82.56 and 66.75 minutes. 2. What is the standard error of the TOTAL EAT variab Explain what the standard error means in words . Does the standard error depend on the population size, N7 4. Set α 0.05-that is, you are willing to be wrong 5% of the time. (a) Construct a 95% confidence interval for TOTAL-EAT. (b) Say what this interval tells you in words. 5. Now set α 0.01. (a) Construct a 99% confidence interval for TOTAL-EAT. (b) Say what this interval tells you in words. The proportion of individuals who say they drank soda on a diary day is .2625. 6. Construct a 99% confidence interval for SODA.PROP. 7, what if I told you that it was instead the case that 40% of Americans drank soda on the diary day would your confidence interval be smaller or wider than in (5)7

Answer 1

resentative 6675 = 0.619 Standard E tells hew wrell you baule mean estaimattes standand eres would mean duittoraust mnean values. Small St mean lattan s mere e mean ,LA = 82.56 + 1.96* 66 .75 a 2.56±1.21 =1&I,35,83.7 s) 3t teuls us thot i we take rapeauteal sauples of Same lie in ouge 13 to 33.77 82.56 ± 2.57e*66.75 82.56 ± i.57 20.97, 84.15 ganne e i pauge 80.97 to 8915