Question

Use the two-way frequency table to answer the question. What are the missing values?
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, we will use the information provided. The table is structured as follows:

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

We can determine the missing values step by step.

1. **Calculate the total for "Like to Watch TV":**
Given the totals for "Children" and "Total" sections:

\[
\text{Total for Like to Watch TV} = \text{Total Children} - \text{Like to Watch TV (Children)}
\]
\[
\text{Total for Like to Watch TV} = 139 - 75 = 64
\]

There is a missing value for Adults in "Don’t Like to Watch TV". Therefore, to find this, we can use the total for "Adults":

2. **Calculate the number of Adults who "Don't Like to Watch TV":**
\[
\text{Total for Don’t Like to Watch TV} = \text{Total for Adults} - \text{Like to Watch TV (Adults)}
\]
\[
\text{Total for Don’t Like to Watch TV} = 143 - 130 = 13
\]

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

```
TV-Watching Preference | Children | Adults | Total
-------------------------|----------|--------|------
Like to Watch TV | 75 | 130 | 205
Don’t Like to Watch TV | 84 | 13 | 97
Total | 139 | 143 | 282
```

To summarize:
- The total for "Like to Watch TV" is **205**.
- The number of Adults who "Don't Like to Watch TV" is **13**.