What is the upper bound of the confidence interval?
Television has become one of the major sources of health information of all types. In addition to news programs that report results of medical "breakthroughs" and discoveries of new drugs to treat chronic health conditions, televised medical talk shows have become very popular sources of medical information. Two medical talk shows with high viewership are The Dr. Oz Show and The Doctors, each with over 2 million viewers per daily show. Both shows provide recommendations related to diet (such as immune boosting diets), weight-loss, and a wide variety of general medical topics. These shows typically make 11 or 12 recommendations per one-hour episode.
The medical talk shows, particularly The Dr. Oz Show, frequently generate skepticism and criticism from medical professionals. Scientific evidence to support the recommendations is often not presented and information indicating possible conflict of interest is given for only a tiny fractional percentage of the recommendations.
In a recent article in the British Medical Journal, a team of medical professionals found no supporting evidence or found evidence that contradicts the show's recommendation for 44 of 80 randomly selected recommendations from several randomly selected episodes of The Doctor Oz Show.
Use the information in the above paragraph to calculate a 99% confidence interval for the proportion p of recommendations on The Dr. Oz Show for which there is no supporting evidence or there is evidence that contradicts the show's recommendation.
What is the upper bound of the confidence interval?
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