Final answer:
A P-value less than 0.05 indicates strong evidence against the null hypothesis, suggesting that the proportion of binge-drinking students at the college is lower than the national proportion of 41%.
Step-by-step explanation:
Based on the P-value computed to be less than 0.05, the reasonable conclusion is option (a): There is strong evidence that the proportion of students at this college that binge drink is lower than the national proportion of 0.41. A P-value lower than 0.05 typically indicates that there is statistically significant evidence to reject the null hypothesis. In this case, the null hypothesis likely posited that the proportion of binge drinking students at the college is equal to or greater than the national average, and the alternative hypothesis stated that the proportion is lower. Because the P-value is less than 0.05, the college president has evidence to suggest that the rate of binge drinking on her campus is indeed lower than the national average.