**Week 4 Assignment Contingency Tables**

**Question**

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

Provide your answer below:

**Question**

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.

**Question**

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

**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 having children for those who are married? Round your answer to two decimal places

**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.

**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

**Question**

Researchers want to study whether or not a fear of flying is related to a fear of heights. They surveyed a large group of people and asked them whether or not they had a fear of flying and whether or not they had a fear of heights. The data are shown in the contingency table below. What is the relative risk of being afraid of flying for those who are afraid of heights? Round your answer to two decimal places

Provide your answer below:

The probability that someone with a fear of heights is afraid of flying is 76158=3879. The probability that someone who does not have a fear of heights is afraid of flying is 33403. The relative risk is then 387933403≈5.87. This means that in this survey, people with a fear of heights were 587% as likely to have a fear of flying as people without a fear of heights.

**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

**Question**

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

**Question**

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

**Question**

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?

**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.

**Question**

Given the contingency table below, determine the marginal distribution of the toys’ shapes. Round your answer(s) to the nearest whole number. Select all that apply.

Toys |
Black |
White |
Total |

Round |
3 | 7 | 10 |

Square |
5 | 2 | 7 |

Total |
8 | 9 | 17 |

**Solution:**

**Question**

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

Provide your answer below:

35

**Question**

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.

7/23

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