According to an article, \( 17 \% \) of undergraduate or graduate students have had at least one incidence of self-injurious behavior. The researchers conducted a survey of 40 college students who reported a history of emotional abuse and found that 12 of them have had at least one incidence of self-injurious behavior. What do the results of this survey tell you about college students who report a history of emotional abuse? Since \( P(X \square \square \) (Round to four decimal places as needed.)

The survey results suggest that college students with a history of emotional abuse may be at a higher risk for self-injurious behavior than the general student population, where only 17% are reported to engage in such actions. In this case, out of the 40 surveyed students, 12 exhibited self-injurious behavior, indicating a prevalence rate of 30% (12 out of 40). This is quite notably higher than the general statistic, emphasizing the potential impact of emotional abuse on mental health outcomes. If you want to delve deeper into the calculations, the probability \( P(X) \) that at least 12 out of 40 students show self-injurious behavior can be analyzed using the binomial probability formula. Considering the general student population's self-injurious behavior rate, one can calculate how likely it would be to see such results (or even higher) purely by chance. Then, if you find the real observed rate here significantly diverges from the expected outcomes (using 17% as a benchmark), it could suggest a genuine underlying issue within this specific student group.