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:

System II

refers to the deliberative, analytical and slower thinking process in dual-process theories of cognition.

Induction

A reasoning process that involves making generalizations based on specific observations or instances.

Deduction

A logical process in which a conclusion follows necessarily from the stated premises, implying the truth of the conclusion if the premises are true.

Reasoning

The process of thinking about something in a logical way in order to form a conclusion or judgment.