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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?
Comparing the experimental and theoretical probabilities, can you say the die used in this experiment is a fair die? Why or why not?
Using the z table in Table E of Appendix C, what are the critical values for a two-tailed test when a = 0.03 .
What is the importance of the null hypothesis? Why has it been the backbone of mainstream hypothesis testing for decades? What are its limitations?
There are 20 qualified applicants for 5 trainee positions in a fast-food management program. How many different groups of trainees can be selected?
You are having a meeting with the employees of Financial Outsourcing, Inc. During the meeting, you were asked several questions. Give your opinion to the questions.
Change the last number in that set from 36 to 14 and recalculate the confidence interval. Using the results, describe the effect of an outlier or extreme value on the confidence interval.
What can we say with 99% confidence about the maximum error, if we use the sample proportion as an estimate of the true proportion of claims filed against this insurance company that exceed $1,200?
What is the standard general score conversion formula? Is this the same as a z-score formula? Which leads me to ask How do you convert from one standard score to another?
The true breaking strength of our trash bags when using a 95% confidence interval. What is the minimum number of bags we should sample?
If a particular shipment of thousands of components actually has a 6 percent rate of defects, what is the probability that this whole shipment will be accepted?
Distributed with the following parameters: μ1 = 100, σ1 = 4, μ2 = 75, σ2 = 4, μ3 = 75, and σ3 = 2. What is the probability that an assembly chosen at random will have combined dimension in excess of 262?
Two balanced dice are rolled and the number of dots facing up is added. Find the probability that the sum is 10 or 12.
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