Answer:
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- <u><em>D) Column: In a Band, Not in a Band; Row: Play a Sport, Do Not Play a Sport</em></u>
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Explanation:
The answer choices are:
- A) Column: In a Band, Play a Sport; Row: Not in a Band, Do Not Play a Sport
- B) Column: Not in a Band, Play a Sport; Row: In a Band, Do Not Play a Sport
- C) Column: In a Band, Do Not Play a Sport; Row: Not in a Band, Play a Sport
- D) Column: In a Band, Not in a Band; Row: Play a Sport, Do Not Play a Sport
<h2>Solution</h2>
You should build a two-way frequency table with:
- Play in the band, and not play in the band
- Play a sport, and do not play a sport.
It is not important if playing/not playing in the band are in columns or in rows; the important thing is they both must below either to different columns or to different rows. The same is valid for playing a sport.
Then, these two forms are good for the two-way frequency table:
Option 1:
Play in the band Do not play in the band Total
Play sport
Do not play sport
Total
Option 2:
Play sport Do not play sport Total
Play in the band
Do not play in the band
Total
As for the options:
- A) Column: In a Band, Play a Sport; Row: Not in a Band, Do Not Play a Sport
This is placing In a band and Play a sport in different columns, when they should be in different rows,
- B) Column: Not in a Band, Play a Sport; Row: In a Band, Do Not Play a Sport
This is placing not in a band and Play a Sport in different columns when they should be in different rows.
- C) Column: In a Band, Do Not Play a Sport; Row: Not in a Band, Play a Sport
This is placing In a band and Do not play a Sport in different columns when they should be in different rows.
- D) Column: In a Band, Not in a Band; Row: Play a Sport, Do Not Play a Sport
This correctly describes the survey: it corresponds to the option #1 above.
