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MATH225 Statistical Reasoning for the Health Sciences

Week 4 Assignment Contingency Tables

Question Given the contingency table below, determine the marginal distribution of swimmers and non-swimmers. Round your answer(s) to the nearest whole number. Select all that apply.

People Can Swim Cannot Swim Total

Vegetarian 129 181 310

Non-vegetarian 101 69 170

Total 230 250 480

48%

52%

65%

35%

Question 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 relative risk of being married for those who have children? Round your answer to two decimal places.

MarriedNot MarriedTotalChildren9768165No Children3571106Total132139271

Question Fill in the following contingency table and find the number of students who both have a cat AND have a dog.

StudentshaveacatdonothaveacatTotalhaveadog46donothaveadog17Total4998

Question In a recent survey, a group of people were asked if they were happy or unhappy with the state of the country. The data are shown in the contingency table below, organized by political party. What is the odds ratio for people unhappy with the state of the country to be republicans against people happy with the state of the country to be republicans? Round your answer to two decimal places.

RepublicanDemocratTotalHappy152104256Unhappy98146244Total250250500

Question Given the contingency table below, determine the marginal distribution of the bread and rice. Round your answer(s) to the nearest whole number. Select all that apply.

Food Bread Rice Total

Breakfast 122 189 311

Lunch 420 263 683

Total 542 452 994

55%

45%

31%

69%

Question Fill in the following contingency table and find the number of students who both do not go to the beach AND do not go to the mountains.

StudentsgotothebeachdonotgotothebeachTotalgotothemountains32donotgotothemountains32Total5427

Question Given the contingency table below, determine the marginal distribution of breakfast and lunch. Round your answer(s) to the nearest whole number. Select all that apply.

Food Bread Rice Total

Breakfast 122 189 311

Lunch 420 263 683

Total 542 452 994

55%

45%

31%

69%

Question Does not Work in an Office Works in an Office Total

Does not Work Saturday 11 47 58

Works Saturday 6 76 82

Total 17 123 140

A survey of 140 employed citizens was conducted and the results are shown in the table above. Given that a randomly selected survey participant does not work in an office, what is the probability that this person works on Saturday?

• Write answer in reduced fraction form.

Question Researchers wanted to study if wearing cotton clothes is related to depression. They surveyed a large group of people. The data are shown in the contingency table below. What is the relative risk of wearing cotton clothes for those who are depressed? Round your answer to two decimal places.

CottonNot cottonTotalDepressed122420542Not depressed189263452Total311683994

Question 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 relative risk of flying for those birds that have long beaks? Round your answer to two decimal places.

Long beakNot a long beakTotalFlies11718Does not fly31316Total142034

Question Fill in the following contingency table and find the number of students who both watch comedies AND watch dramas.

StudentswatchcomediesdonotwatchcomediesTotalwatchdramas38donotwatchdramas52Total4165

Question Fill in the following contingency table and find the number of students who both have a cat AND have a dog.

StudentshaveacatdonothaveacatTotalhaveadog27donothaveadog36Total6038

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