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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?
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Commute times: three random samples of time in minutes that commuters are stuck in traffic are shown. At anova =0.05, is there a difference in the mean times among the three cities?
What percent of the SAT verbal scores are less than 650 and if 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575?
Random samples of 25 observations were selected from each of 3 populations. For these data, SSTR= 120 and SSE = 216.
A random sample is selected from a normal population. The population mean is 60 and the standard deviation is 15. after treatment the sample mean is 65. the sample size is 25.
A university wants to determine the proportion of students who use a cash card to pay at the university food service. Out of 100 students surveyed, 65 students use a cash card. Estimate the value of the population proportion.
What do we use the F Distribution to test? Provide an example from your place of employment or circle of influence of an instance when you could use the F Distribution.
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Explain the difference between testing a single mean, testing the difference between two means from an "independent sample" and testing mean differences from a "dependent sample".
Here is a simple probability model for multiple-choice tests. Assume that each student has probability p of correctly answering the question chosen at random from universe of possible questions.
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