Question: For patients with a particular disease, the population proportion of those successfully treated with a standard treatment that has been used for many years is .75. A medical research group invents a new treatment that they believe will be more successful, i.e., population proportion will exceed .75. A doctor plans a clinical trial he hopes will prove this claim. A sample of 100 patients with the disease is obtained. Each person is treated with the new treatment and eventually classified as having either been successfully or not successfully treated with the new treatment.
a. What is the response variable in this problem?
b. What type of variable is the response variable? categorical or measurement
c. What is the appropriate population value for this problem? population mean or population proportion
d. Write out the null and alternative hypotheses in terms of the appropriate population value.
e. Find the test statistic on the output found below. Use this test statistic to write a one-sentence interpretation of the p-value in terms of this problem.
f. What conclusion can be made in terms of this problem? Why?