Question

Use the two-way frequency table to answer the question. What are the missing values?(1 point)
TV-Watching Preference Children Adults Total
Like to Watch TV 75 130
Don’t Like to Watch TV 84 152
Total 139 143 282

Answer 1

To find the missing values in the two-way frequency table, let's start by filling in what we have and what we need:

**TV-Watching Preference**
| | Children | Adults | Total |
|-------------------|----------|--------|-------|
| Like to Watch TV | ? | 75 | 130 |
| Don’t Like to Watch TV | 84 | ? | 152 |
| Total | 139 | 143 | 282 |

1. **Calculate the missing value for "Like to Watch TV" - Children:**
- We know that the total number of children is 139 and there are 84 children who don’t like to watch TV.
- Therefore, the number of children who like to watch TV can be calculated as:
\[
\text{Children who like to watch TV} = \text{Total Children} - \text{Children who don't like to watch TV} = 139 - 84 = 55
\]

2. **Calculate the missing value for "Don’t Like to Watch TV" - Adults:**
- The total number of adults is 143 and we know that the total number of adults who like to watch TV is 75.
- Therefore, the number of adults who don’t like to watch TV can be calculated as:
\[
\text{Adults who don't like to watch TV} = \text{Total Adults} - \text{Adults who like to watch TV} = 143 - 75 = 68
\]

Now we can fill in the table with the missing values:

**Completed TV-Watching Preference Table**
| | Children | Adults | Total |
|-------------------|----------|--------|-------|
| Like to Watch TV | 55 | 75 | 130 |
| Don’t Like to Watch TV | 84 | 68 | 152 |
| Total | 139 | 143 | 282 |

So the missing values are:
- Children who like to watch TV: **55**
- Adults who don’t like to watch TV: **68**