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:

Skilled Movement

Complex, coordinated activities that require fine motor control and expertise, often learned through practice.

Motor Control

The process by which the nervous system directs or influences muscles to perform voluntary movements.

Cerebellum

A region of the brain that plays an important role in motor control, coordination, precision, and timing of movements.

Basal Ganglia

A group of nuclei in the brain involved in coordinating movement, as well as aspects of learning and emotion.