A Doctor Thinks He Has Found a Miraculous Cure for Rheumatoid

question 12

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 symptomfree 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 critical 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:

Hypothesis

A conception or proposition that is tentatively assumed and then tested for validity by comparison with observed facts and by experimentation.

Scientific Explanation

A logical and systematic description that aims to interpret and clarify phenomena based on empirical evidence and scientific methodologies.

Hypothesis

A proposed explanation for a phenomenon, made as a starting point for further investigation.

Hypothesis

A suggested explanation for an observed event, intended as an initial point for more detailed research.