Question

1. ursula interviewed 75 people to see if they liked reading comic books. of the people surveyed, 15 were males. in all, 32 females liked comic books, and 9 males liked comic books.

a. construct a frequency table to organize her data.
b. what is the conditional frequency that a person does not like comic books given that the person is a male?
4.
a. what is the approximate joint frequency that a person was 21 - 35 and did not recycle?
b. what is the approximate frequency that a person surveyed was 51 - 65 years old given that he or she recycles?
c. based on this survey, is it more likely that a 21 - 35 year old recycles or a 51 - 65 year old recycles? use conditional frequencies to justify your answer.

1. complete the following frequency table. is it more likely that people who have a job have a savings account?
2. is each of the following an example of qualitative (categorical) data? a years of education oyes ono b type of pet oyes ono c color of car oyes ono d price of gas oyes ono

Explanation:

3b.

Step1: Recall the formula for conditional frequency

Conditional frequency = $\frac{\text{Number of favorable outcomes in the condition}}{\text{Total number of outcomes in the condition}}$. Here, the number of males who do not like comic books is 6 and the total number of males is 15.

Step2: Calculate the conditional frequency

$\frac{6}{15}=\frac{2}{5}=0.4$

4a.

The joint frequency that a person was 21 - 35 and did not recycle is directly given in the table as 10.

4b.

Step1: Identify the relevant values

The number of 51 - 65 year - olds who recycle is 45 and the total number of people who recycle is 186.

Step2: Calculate the conditional frequency

$\frac{45}{186}\approx0.242$

4c.

Step1: Calculate the conditional frequency for 21 - 35 year - olds

The number of 21 - 35 year - olds who recycle is 56 and the total number of 21 - 35 year - olds is 66. So the conditional frequency is $\frac{56}{66}\approx0.848$.

Step2: Calculate the conditional frequency for 51 - 65 year - olds

The number of 51 - 65 year - olds who recycle is 45 and the total number of 51 - 65 year - olds is 85. So the conditional frequency is $\frac{45}{85}\approx0.529$.

Step3: Compare the conditional frequencies

Since $0.848>0.529$, it is more likely that a 21 - 35 year - old recycles.

5.

Step1: Calculate the conditional frequency for people with a job

The number of people with a job and a savings account is 134 and the total number of people with a job is 150. So the conditional frequency is $\frac{134}{150}\approx0.893$.

Step2: Calculate the conditional frequency for people without a job

The number of people without a job and with a savings account is 66 and the total number of people without a job is 150. So the conditional frequency is $\frac{66}{150}=0.44$.

Step3: Compare the conditional frequencies

Since $0.893 > 0.44$, it is more likely that people who have a job have a savings account.

6.

Step1: Analyze A (years of education)

Years of education is numerical data, not qualitative.

Step2: Analyze B (type of pet)

Type of pet is a categorical variable (e.g., dog, cat, etc.), so it is qualitative data.

Step3: Analyze C (color of car)

Color of car is a categorical variable (e.g., red, blue, etc.), so it is qualitative data.

Step4: Analyze D (price of gas)

Price of gas is numerical data, not qualitative.

Answer:

3b.

$\frac{6}{15}=\frac{2}{5} = 0.4$

4a.

10

4b.

$\frac{45}{186}\approx0.242$

4c.

The conditional - frequency that a 21 - 35 year - old recycles is $\frac{56}{66}\approx0.848$. The conditional - frequency that a 51 - 65 year - old recycles is $\frac{45}{85}\approx0.529$. So it is more likely that a 21 - 35 year - old recycles.

5.

The conditional frequency that a person with a job has a savings account is $\frac{134}{150}\approx0.893$. The conditional frequency that a person without a job has a savings account is $\frac{66}{150}=0.44$. So it is more likely that people who have a job have a savings account.

6.

A. No
B. Yes
C. Yes
D. No