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.