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Based on past data, the proportion of Major League Baseball (MLB) players who ba

ID: 3052164 • Letter: B

Question

Based on past data, the proportion of Major League Baseball (MLB) players who bat left handed was 0.341. You are interested to see if this is still the case. You conduct a sample of 24 players and find that 10 are left handed hitters. The 95% confidence interval is ( 0.2194 , 0.6139 ). What is the best conclusion of those listed below?

1) The confidence interval does not provide enough information to form a conclusion

. 2) We can not claim that the proportion of MLB players who are left handed hitters differs from 0.341.

3) We can conclude that the proportion of MLB players who are left handed hitters is larger than 0.341.

4) We can claim that the proportion of MLB players who are left handed hitters is smaller than 0.341.

5) The proportion of MLB players who used to be left handed from 0.341 is 95%.

Explanation / Answer

As the proportion 0.341 lies within the 95% confidence interval (0.2194, 0.6139), we can conclude with 95% confidence that the proportion of MLB players who are left handed hitters is 0.341. We cannot claim the opposite in this case.

Answer: Option 2) We can not claim that the proportion of MLB players who are left handed hitters differs from 0.341

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