Final answer:
The statement that does not present a probable reason for people failing to seek treatment for a mental disorder is the availability of effective treatment options, as this typically encourages rather than deters individuals from seeking help.
Step-by-step explanation:
The statement that does not present a probable reason for people who fail to seek treatment for a mental disorder is Option 3: Effective treatment options available. Reasons that hinder individuals from seeking treatment often include stigma surrounding mental health issues, lack of financial resources, and cultural beliefs and practices that may discourage individuals from acknowledging mental health problems or seeking help. The fact that effective treatment options are available is generally an incentive for seeking treatment, not a deterrent. On the contrary, knowing that there are treatments that can help would normally encourage those suffering to seek assistance. Unfortunately, social stigmas, as described by sociologists like Erving Goffman, can prevent individuals from fully integrating into society and receiving care, sometimes leading to a worsening of their condition.