Mathematics > EXAM > MATH 225N statistics week 4 contengency tables QUESTIONS WITH COMPLETE SOLUTION LATEST UPDATE 2022 (All)

Contingency tables 1. Researchers wanted to study if couples having children are married. They surveyed a large group of people. The data are shown in the contingency table below. What is the relat... ive risk of having children for those who are married? Round your answer to two decimal places. Children no children total Married – 97 35 132 Not married- 68 71 139 Total 165 106 271 1.50 The probability that someone who is married has children is 97/132. The probability that someone who is not married has children is 68/139. The relative risk is then 97/132 divided by 68/139≈1.50. This means that in this survey, people who are married were 150% as likely to have children as people who are not married 2. A survey of 155 employed citizens was conducted and the results are shown in the table below. Given that a randomly selected survey participant does not work in an office, what is the probability that this person works on Saturday? Enter your answer as a fraction. Does not Work in an Office Works in an Office Total Does not Work Saturday 32 62 94 Works Saturday 14 47 61 Total 46 109 155 7/23 The total number of those not working in an office is 46. Of these, 14 work on Saturday. Therefore, the probability that a randomly selected person from those not working in an office works on Saturday is 14/46=7/23 3. Researchers wanted to study if having a long beak is related to flight in birds. They surveyed a total of 34 birds. The data are shown in the contingency table below. What is the odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly? Round your answer to two decimal places. Flies Does not fly Total [Show More]

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