A recent New York Times article reported, "A major study tracking the eating habits of 478,000 Europeans suggests that consuming lots of fruits and vegetables has little if any effect on preventing cancer." The study, which was published in The Journal of the National Cancer Institute, "tracked 142,605 men and 335,873 women for an average of nearly nine years. Eating more vegetables was associated with a small but statistically significant reduction in cancer risk."

1. What are the null and alternative hypotheses in the context of the Parker-Pope article?
2. What was the conclusion in their test? Did they reject the null hypothesis or did they fail to reject the null hypothesis? How do you know?
3. What if you made the wrong decision? What if you rejected the null when you really should have fail to reject? OR What if you failed to reject the null when you should have rejected the null? What would be the consequences or risks? (Think in terms of false positive rate and false negative rate).