A Medical Researcher Believes That Supplements of Glucosamine Can Help

A medical researcher believes that supplements of glucosamine can help to reduce the pain of arthritis.She designs an experiment as follows.She will obtain a group of volunteers who suffer from arthritis.Each patient's condition will be evaluated by a doctor at the start of the experiment.Volunteers will be randomly assigned to one of three groups.Each day patients in group 1 will receive a low dose of glucosamine,patients in group 2 a higher dose of glucosamine,and patients in group 3 a placebo.After a suitable amount of time,for example two months,the doctor will evaluate each patient's progress.Based on the amount of inflammation and the patient's report on the amount of pain,the doctor will give each patient a numerical score to represent their improvement.The researcher will then compare the improvement for the three groups.The evaluating doctor will be blinded to patients' treatments.If the result is found to be statistically significant,what would that mean in this case?