Let's analyze the two-way table to confirm the statements based on the given data.
Data from the table:
- Home Games: Wins = 6, Losses = 10
- Away Games: Wins = 3, Losses = 8
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The team is twice as likely to win an away game as they are a home game.
- Home game win percentage = 6 / (6 + 10) = 6 / 16 = 0.375 (or 37.5%)
- Away game win percentage = 3 / (3 + 8) = 3 / 11 ≈ 0.273 (or 27.3%)
- This statement is not supported.
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The team wins three-fifths of their home games.
- Total home games = 6 (wins) + 10 (losses) = 16
- Win percentage = 6 / 16 = 0.375 = 3/8, not 3/5.
- This statement is not supported.
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The team wins one-half of their games.
- Total games = (6 + 10) + (3 + 8) = 27
- Total wins = 6 + 3 = 9
- Win percentage = 9 / 27 = 1/3, not 1/2.
- This statement is not supported.
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The team played a total of 27 games.
- Total games = (6 + 10) + (3 + 8) = 27.
- This statement is supported.
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The team won a total of 6 games.
- Total wins = 6 (home) + 3 (away) = 9 games.
- This statement is not supported.
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The team lost more home games than away games.
- Home losses = 10, Away losses = 8.
- Since 10 > 8, this statement is supported.
Final Result of Supported Statements:
- The team played a total of 27 games. (Supported)
- The team lost more home games than away games. (Supported)
Thus, the statements that are supported by the data are:
- The team played a total of 27 games.
- The team lost more home games than away games.
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