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The results of two random samples of players in a baseball league are shown below. Which of the following is the best interpretation of these results?

A. Likely, there are more left-handed players in the league than there are right-handed players. There are 4 times as many left-handed players as there are right-handed players in the first sample, but there are only 3 times as many right-handed players as there are left-handed players in the second sample.


B. Likely, there are more left-handed players in the league than there are right-handed players. Averaging the percentages suggests that 52.5% of the players are left-handed while 47.5% are right-handed.


C. Likely, there are more right-handed players in the league than there are left-handed players. Since the second sample is much larger than the first sample, its results are more reliable.


D. Likely, there are more right-handed players in the league than there are left-handed players. The players in the first sample could not have been selected at random. Therefore, only the results of the second sample are reliable.

The results of two random samples of players in a baseball league are shown below-example-1
User Rudolfbyker
by
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2 Answers

21 votes
21 votes

Answer:

it would be 80.

Explanation:

6. you add. tat

User Matthieu Saleta
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3.1k points
25 votes
25 votes

The correct answer is option B. Likely, there are more left-handed players in the league than there are right-handed players. Averaging the percentages suggests that 52.5% of the players are left-handed while 47.5% are right-handed.

The interpretation of the results requires careful consideration of the sample sizes and percentages. In Sample #1, left-handed players constitute 80%, suggesting a potential imbalance. However, the sample size is small (5 players), making it less representative. In Sample #2, left-handed players constitute 25%, and although the percentage is lower, the larger sample size (100 players) enhances its reliability.

Option A is not supported because it incorrectly suggests a consistent pattern across both samples, which is not the case. Option B presents a more balanced interpretation, averaging the percentages to suggest that 52.5% of players are left-handed and 47.5% are right-handed, but it overlooks the sample size issue.

Options C and D are misleading. Option C wrongly assumes that the larger sample size inherently makes the results more reliable, while Option D dismisses the first sample entirely based on its composition, overlooking the small sample size issue.

In summary, the best interpretation is:

B. Likely, there are more left-handed players in the league than there are right-handed players. Averaging the percentages suggests that 52.5% of the players are left-handed while 47.5% are right-handed.

User AmirHd
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2.5k points
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