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STAT 245 (11)

# Rev 2A.pdf

13 Pages
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Department
Statistics
Course
STAT 245
Professor
William Laverty
Semester
Winter

Description
Statistics 2453Review Problems for the Final Exam Solutions I The following data were collected on n3023persons who suffered a head injury in a motor vehicle accident in SaskatchewanThe variables that were measured for each case were 1 Sex SMale or Female2 Age A 10 1019 20293049 and 50male female Total 10 247 138 385 1019 793 458 1251 2029 544 222 766 3049 249 156 405 50 235 161 396 Total 2068 1135 3203a Using a 95 confidence interval estimate the proportion of males who suffered a head injury in a motor vehicle accident in Saskatchewan amongst individuals age 1029 206806456p Solutionproportion of males3203106456106456pp95 confidence interval or064561960pz2a3203nor 0618 to 0673b Repeat the calculation for individuals age 30 405396Solutionproportion of males02501p 3203102501102501ppor025011960pz95 confidence interval 2a3203nor 0239 to 0261c Test to determine if there is a difference in the proportion of males who suffered a head injury in a motor vehicle accident in Saskatchewan between the age groups 1029 and 30Page 1 Statistics 2453Review Problems for the Final ExamSolutions pp12SolutionThe test statistic is z where11pp1nn1279354413372492354840663p0604p and 1212517662017405396801133748418210646p 20178012818pp0663060412Hence z 2936 11110646106461pp2017801nn12z 1960 and z2576 His rejected for both a 005 and a 001 0025 000502d Use the ctest to determine if there is a relationship between Sex and agefor individual who suffered a head injury in a motor vehicle accident in Saskatchewan SolutionThe observed frequencies x are ijmale female Total R i10 247 138 385 1019 793 458 1251 2029 544 222 766 3049 249 156 405 50 235 161 396 Total C 2068 1135 3203 jRCijThe expected frequencies E ijNmale female Total R i10 24857 13643 385 1019 80770 44330 1251 2029 49456 27144 766 3049 26149 14351 405 50 25568 14032 396 Total C 2068 1135 3203 j2crxEijij2 and 2113cE11jiij22Comparing this with 949 and1328cc for r 1c14 df 005001The decision is to reject Hand conclude that there is dependence between Sex 0 and age of head injury victimsPage 2
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