(ANSWER) MATH 225N WEEK 4 ASSIGNMENT: CONTINGENCY TABLES - Essay Prowess

(ANSWER) MATH 225N WEEK 4 ASSIGNMENT: CONTINGENCY TABLES

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  1. Question 1

A group of 130 students at a private university were asked if they are full-time or part-time and if they have gym memberships. The results are shown in the table below. Given that a randomly selected survey participant is part-time, what is the probability that this student has a gym membership?

 

  Part-time Full-time Total
No Gym Membership 13 59 72
Gym Membership 5 53 58
Total 18 112 130

Question 2

155 fitness center members were asked if they run and if they lift weights. The results are shown in the table below.

 

  Does not Run Runs Total
Does not Lift Weights 30 68 98
Lifts Weights 16 41 57
Total 46 109 155

 

Given that a randomly selected survey participant does not run, what is the probability that the participant lifts weights?

  • Enter the answer as a fraction.

Question 3

Fill in the following contingency table and find the number of students who both read mysteries AND read comics.

Question 4

Fill in the following contingency table and find the number of students who both do not have a cat AND do not have a dog.

Question 5

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 odds ratio for married people having children against unmarried people having children? Round your answer to two decimal places.

Question 6

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.

Question 7

Fill in the following contingency table and find the number of students who both play sports AND play an instrument.

Question 8

Fill in the following contingency table and find the number of students who both do not play sports AND do not play an instrument.

Question 9

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

Question 10

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.

Question 11

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 odds ratio for people having children to be married against people not having children to be married? Round your answer to two decimal places.

Question 12

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 odds ratio for people wearing cotton clothes being depressed against people not wearing cotton clothes being depressed? Round your answer to two decimal places.

Question 13

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 being depressed for those who wear cotton clothes? Round your answer to two decimal places.

Question 14

Doctors are testing a new antidepressant. A group of patients, all with similar characteristics, take part in the study. Some of the patients receive the new drug, while others receive the traditional drug. During the study, a number of patients complain about insomnia. The data are shown in the contingency table below. What is the relative risk of insomnia for those who receive the new drug? Round to two decimal places.

Question 15

A group of college freshman are targeted with a voter registration advertisement. Another group of freshman are not targeted. The table below shows how many of these freshman registered to vote. What is the odds ratio for freshman targeted with the advertisement registering to vote against freshman not targeted with the advertisement registering to vote? Round to two decimal places.

Question 16

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.

Question 17

Doctors are testing a new antidepressant. A group of patients, all with similar characteristics, take part in the study. Some of the patients receive the new drug, while others receive the traditional drug. During the study, a number of patients complain about insomnia. The data are shown in the contingency table below. What is the relative risk of insomnia for those who receive the new drug? Round to two decimal places.

Question 18

A group of college freshman are targeted with a voter registration advertisement. Another group of freshman are not targeted. The table below shows how many of these freshman registered to vote. What is the odds ratio for freshman targeted with the advertisement registering to vote against freshman not targeted with the advertisement registering to vote? Round to two decimal places.

Question 19

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.

 

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