A Doctor Thinks He Has Found a Miraculous Cure for Rheumatoid

question 83

Essay

A doctor thinks he has found a miraculous cure for rheumatoid arthritis. He thinks it will cure more than 50% of all cases within a year of first taking the drug. To test his drug, he runs a clinical trial on 400 patients with rheumatoid arthritis. He finds that 208 of the patients are symptom free within a year.
A) Specify the null and alternative hypotheses to determine whether the proportion of patients that are cured by the drug exceeds 50%.
B) Calculate the value of the test statistic, and find the p-value at a 5% significance level.
C) At the 5% significance level, can you conclude that the percentage of patients who are cured by the drug exceeds 50%?

• A) Specify the null and alternative hypotheses to determine whether the proportion of patients that are cured by the drug exceeds 50%.
• B) Calculate the value of the test statistic, and find the p-value at a 5% significance level.
• C) At the 5% significance level, can you conclude that the percentage of patients who are cured by the drug exceeds 50%?

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Definitions:

Aristotle

An ancient Greek philosopher and scientist whose writings cover a wide range of subjects, including physics, metaphysics, poetry, theater, music, logic, rhetoric, politics, and ethics.

Internal Organs

Organ systems located within the body and responsible for various vital functions, such as the heart, liver, and kidneys.

Internist

A physician specializing in the diagnosis and medical treatment of adults.

Pediatrician

A pediatrician is a medical doctor specializing in the care and treatment of children's diseases and health issues.