To find the missing values in the two-way frequency table, we can use the provided totals. Here’s the table with the values we have:
\[ \begin{array}{|c|c|c|c|} \hline \text{TV-Watching Preference} & \text{Children} & \text{Adults} & \text{Total} \ \hline \text{Like to Watch TV} & 75 & 130 & \text{Total} \ \hline \text{Don’t Like to Watch TV} & 84 & \text{Missing} & 152 \ \hline \text{Total} & 13 & \text{Missing} & \text{Total} \ \hline \end{array} \]
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Calculate the total for "Like to Watch TV": We need to find the total number of people (children + adults):
- Total for "Like to Watch TV" = 75 + 130 = 205.
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Now, we know the total number of participants is 205 + 152 (from "Don't Like to Watch TV") = 357. We can fill in the total row.
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Fill in the total column for "Don't Like to Watch TV": Since we have the total "Don't Like to Watch TV" as 152, we can find the missing adult count:
- Total for Adults = 357 - (Total "Like to Watch TV" + Total "Don't Like to Watch TV") = 357 - 205 = 152.
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Fill in the missing values for the Adults: Since we have "Don't Like to Watch TV" total of 152:
- 84 (Children) + x (Adults) = 152
- x = 152 - 84 = 68.
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Now the complete totals will be: \[ \begin{array}{|c|c|c|c|} \hline \text{TV-Watching Preference} & \text{Children} & \text{Adults} & \text{Total} \ \hline \text{Like to Watch TV} & 75 & 130 & 205 \ \hline \text{Don’t Like to Watch TV} & 84 & 68 & 152 \ \hline \text{Total} & 159 & 198 & 357 \ \hline \end{array} \]
So the missing values are:
- The total for "Like to Watch TV" is 205.
- The total for "Don't Like to Watch TV" Adults is 68.
- The total number of children is 159.
- The total number of adults is 198.
- Total participants is 357.