University of Maryland, University College STAT 200 7978 STAT 200 Week 6 Homework Problems.

Document Content and Description Below

STAT 200 Week 6 Homework Problems 9.1.2 Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology exam 84,199 of them were female... . In that same year, of the 211,693 students who took the calculus AB exam 102,598 of them were female ("AP exam scores," 2013). Estimate the difference in the proportion of female students taking the biology exam and female students taking the calculus AB exam using a 90% confidence level. Given that P1 = 84199/144796 = 0.5815 P2 = 102598 / 211693 = 0.4847 n1=144796, n2=211693 90% confidence interval for difference in p1-p2 = (0.5815-0.4847) +/-1.645*sqrt((0.5815*(1-0.5815)/144796)+(0.4847*(1-0.4847)/211693)) =0.0968+/-0.0028 = (0.0941, 0.0996) 9.1.5 Are there more children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural? In the state of Pennsylvania, a fairly urban state, there are 245 eight year olds diagnosed with ASD out of 18,440 eight year olds evaluated. In the state of Utah, a fairly rural state, there are 45 eight year olds diagnosed with ASD out of 2,123 eight year olds evaluated ("Autism and developmental," 2008). Is there enough evidence to show that the proportion of children diagnosed with ASD in Pennsylvania is more than the proportion in Utah? Test at the 1% level. n1 = 18,440 n2 = 2,123 x1 = 245 x2 = 45 p1 = 245/18440 = 0.013 p2 = 45/2123 = 0.021 q1 = 1-0.013 = 0.987 q1 = 1-0.021 = 0.979 p- = (245+45)/(18440+2123) = 0.014 q- = 1-0014 = 0.986 z = {(0.013+0.021)-0}/sqrt[{(0.014*0.986)/18440}+{(0.014*0.986)/2123}] z = 12.760 9.2.3 All Fresh Seafood is a wholesale fish company based on the east coast of the U.S. Catalina Offshore Products is a wholesale fish company based on the west coast of the U.S. Table #9.2.5 contains prices from both companies for specific fish types ("Seafood online," 2013) ("Buy sushi grade," 2013). Do the data provide enough evidence to show that a west coast fish wholesaler is more expensive than an east coast wholesaler? Test at the 5% level. [Show More]

Last updated: 1 year ago

Preview 1 out of 10 pages