QUESTION 5: Based on past data, the proportion of Major League Baseball (MLB) pl

Question

QUESTION 5: Based on past data, the proportion of Major League Baseball (MLB) players who bat left handed was 0.527. You are interested to see if this is still the case. You conduct a sample of 31 players and find that 12 are left handed hitters. The 95% confidence interval is ( 0.2156 , 0.5586 ). What is the best conclusion of those listed below?

1)

2)

3)

4)

5)

QUESTION 6: Suppose you work for a pharmaceutical company that is testing a new drug to treat ulcerative colitis. You conduct a random sample of 30 patients on the new drug and 9 of them indicated a decrease in symptoms since starting the drug regimen. You construct a 99% confidence interval for this proportion to be ( 0.0841 , 0.5159 ). What is the correct interpretation of this confidence interval?

1)

2)

3)

4)

5)

1)

2)

3)

4)

5)

1)

The proportion of MLB players who used to be left handed from 0.527 is 95%.

2)

We can claim that the proportion of MLB players who are left handed hitters is larger than 0.527.

3)

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

4)

We can claim that the proportion of MLB players who are left handed hitters is smaller than 0.527.

5)

We can not conclude that the proportion of MLB players who are left handed hitters differs from 0.527.

Explanation / Answer

Answer - 5: The confidence interval contains 0.527 and hence, We can not conclude that the proportion of MLB players who are left handed hitters differs from 0.527.

Option 5 is correct.

Answer - 6; Option 2 is correct.

Answer - 7: Option 5 is correct.

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