Question

A survey of 150 students in 3rd and 4th grade was conducted to see if students prefer cats or dogs.0.3 of students surveyed said they preferred cats.0.46 of students that answered the survey were 4th graders.0.2 of students that preferred cats were in the 3rd grade.Which two-way frequency table correctly organizes this data, and what conclusion can be made? a 3rd4thTotalCats93645Dogs7233105Total81691503rd graders are more likely to prefer dogs than cats. b 3rd4thTotalCats92130Dogs373370Total46541003rd graders are more likely to prefer dogs than cats. c 3rd4thTotalCats93645Dogs7233105Total81691503rd graders are more likely to prefer cats than dogs. d 3rd4thTotalCats92130Dogs373370Total46541003rd graders are more likely to prefer cats than dogs.

Answer 1

Given:

• Total students in the survey = 150

,

• 0.3 of students surveyed said they preferred cats.

,

• 0.46 of students that answered the survey were 4th graders.

,

• 0.2 of students that preferred cats were in the 3rd grade.

Let's select the two-way frequency table which correctly organizes this data and the conclusion.

Let's start find the number using the given proportions:

• Since 0.3 students surveyed preferred cats, let's verify it this table gives 0.3 for students who preferred cats.

We have:

`\text{ Students who preferred cats = 150*0.3 = 45}`

This means 45 students preferred cats.

• Also, 0.46 students were 4th graders.

To find the number of students who were 4th graders, we have:

Students who were 4th graders = 150 * 0.46 = 69

This means 69 students were 4th graders.

• 0.2 students who preferred cats were in 3rd grade.

Since 45 students preferred cats, to find the number of students in 3rd grade who preferred cats, we have:

Number of students in 3rd grade who preferred cats = 45 * 0.2 = 9 students.

This means 9 students in 3rd grade preferred cats.

Using the given data, the table which correctly organizes this data is TABLE A.

Since the number of 3rd graders who prefer dogs are more (72), we can conclude that 3rd graders are likely to prefer dogs than cats.

ANSWER: a

3rd4thTotal

Cats93645

Dogs7233105

Total8169150

3rd graders are more likely to prefer dogs than cats.