Question

b. give numerical evidence to support the claim that college b has a better team than college a. choose the correct answer below.\
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\\(\boldsymbol{\circ}\\) a. college b won 65 games, whereas college a only won 22 games.\
\\(\boldsymbol{\circ}\\) \\(\boldsymbol{\bullet}\\) b. college b won 56 away games, whereas college a only won 12 away games.\
\\(\boldsymbol{\circ}\\) c. college b won about 62.5% of the games they played, whereas college a only won about 48.9% of the games they played.\
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c. which claim do you think makes more sense? why?\
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the claim in part makes more sense because it is based

Explanation:

Step1: Analyze Option A

Calculate win rates for A and B. For B: $\frac{65}{65 + (total - 65)}$? Wait, no, A won 22, B won 65? Wait, no, option A: B won 65, A won 22. But we need to check win rates or context. Wait, maybe the problem is about away games? Wait, no, let's re - read. The claim is B is better. Option C: B won 62.5% ($\frac{65}{104}$? Wait, 65/104 = 0.625 = 62.5%), A won 48.9% (e.g., 22/45? Wait, no, maybe the games they played. Wait, the key is to find which evidence supports B is better. Option C: B's win percentage is 62.5%, A's is 48.9%, so this is a percentage comparison, which is a better measure of performance (win rate) than total wins (since they might have played different numbers of games).

Step2: Evaluate Other Options

Option A: Just total wins, but if they played different numbers of games, total wins don't tell the whole story. Option B: Away games only, not the whole picture. Option C uses win percentage (proportion of games won), which is a better metric for comparing teams as it accounts for the number of games played. So option C is the correct evidence.

Step3: Determine the Better Claim

The claim based on win percentage (option C's evidence) makes more sense because win percentage (proportion of games won) is a more accurate measure of a team's performance than just the number of wins, as it takes into account the number of games each team played. So the claim supported by option C (using win percentages) makes more sense.

Answer:

b. The correct option is C. College B won about 62.5% of the games they played, whereas college A only won about 48.9% of the games they played.
c. The claim in part b makes more sense because it is based on the win percentage (proportion of games won), which is a more accurate measure of a team's performance as it accounts for the number of games each team played, unlike just comparing the number of wins (which doesn't consider the number of games played).