A mental health clinician at Queen's University is studying the prevalence of clinical depression in university students. She suspects that the frequency of depression in university students has changed since the year 2000, when it was reported that 1 in 4 university students have been diagnosed as depressed at some point in their lives.
The clinician uses the Gallup-Healthways Well-Being Index (a comprehensive survey of the health status) to collect data on frequency of depression. In October 2014, she asked a simple random sample of 340 university students from Queen's University whose most recent visit to a physician occurred in September or earlier, "Have you ever been told by a physician or nurse that you have depression?" Of these surveyed students, 107 answered 'Yes'.
What is the P-value for the appropriate hypothesis test which addresses the clinician's suspicion?
- A. 0.0027
- B. 0.0051
- C. 0.0058
- D. 0.0102
- E. Not enough information for a valid answer.