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
Dont like to watch TV 84 152
Total 139 143 282

Answer 1

To find the missing values in the two-way frequency table, we can use the totals provided to fill in the blanks. Here's the original table with some values missing:

```
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. **Fill in the total for "Like to Watch TV":**
We know that the total number of people is 282. The total for "Like to Watch TV" can be found by subtracting the total for "Don't like to watch TV":

Total number of people = Total "Like to Watch TV" + Total "Don't like to Watch TV"

\[
282 = \text{Total "Like to Watch TV"} + 152
\]
\[
\text{Total "Like to Watch TV"} = 282 - 152 = 130
\]

Now we can fill in the "Total" for "Like to Watch TV":

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

2. **Fill in the number of adults who "Don't like to watch TV":**
We can find this by using the total number of adults:

Total number of adults = Total "Like to Watch TV (adults)" + Total "Don't Like to Watch TV (adults)"

\[
143 = 130 (adults who like) + \text{(adults who don't like)}
\]
\[
\text{(adults who don't like)} = 143 - 130 = 13
\]

Now we can fill in the table:

```
TV- Watching Preference Children Adults Total
Like to Watch TV 75 130 130
Don't Like to Watch TV 84 13 152
Total 139 143 282
```

Now that we have completed the table, here's the final version:

```
TV- Watching Preference Children Adults Total
Like to Watch TV 75 130 205
Don't Like to Watch TV 84 13 152
Total 139 143 282
```

The missing values are:
- The total for "Like to Watch TV": **205**
- The number of adults who "Don't like to watch TV": **13**