Question

When games were sampled throughout a season, it was found that the home team won 119 of 195 field hockey games, and the home team won 47 of 75 lacrosse games. The result from testing the claim of equal proportions are shown on the right. Does there appear to be a significant difference between the proportions of home wins? What do you conclude about the home field advantage.

Does there appear to be a significant difference between the proportions of home wins? (Use the level of significance =0.05.)
P = 0.6148148148
A. Since the p-value is large, there is not a significant difference.
B. Since the p-value is large, there is a significant difference.
C. Since the p-value is small, there is a significant difference.
D. Since the p-value is small, there is not a significant difference.
What do you conclude about the home field advantage? (Use the level of significance <= 0.05.)
A. The advantage appears to be about the same for field hockey and lacrosse.
B. The advantage appears to be higher for lacrosse.
C. The advantage appears to be higher for field hockey.
D. No conclusion can be drawn from the given information.

Answer 1

The p-value of 0.6148148148 suggests there is no significant difference in home win proportions between field hockey and lacrosse, so the home field advantage appears to be about the same for both sports.

Step-by-step explanation:

When analyzing if there is a significant difference between the proportions of home wins in field hockey and lacrosse, we have to compare the calculated p-value with the level of significance <= 0.05. The p-value given is 0.6148148148, which is much larger than the level of significance. According to the statistical rules, if the p-value is greater than the level of significance, we fail to reject the null hypothesis. This would lead us to answer option A: Since the p-value is large, there is not a significant difference. As for concluding about the home field advantage, because there is no significant difference between the proportions of home wins for the two sports, we would choose option A: The advantage appears to be about the same for field hockey and lacrosse.