f)Find the rejection region {y < c} with a z 0.01.g)For the rejection region in f), find 3 when p = 0.6.h)For the rejection region in f), find B when p = 0.4. We wish to test an effect of a drug that claimed to improves the patients with 80% of chance. The drug isgiven to 20 patients and we observed the number Y of people who improved.The hypothesis isHo :p = 0.8 vs Hị : p< 0.8.Use the rejection region RR = {y< 12} and answer question a-e.

Let Y denotes the number of people who improved after getting the drug. Since the number of people…

Answered: We wish to test an effect of a drug…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are using a z-test to test H0: u=400 vs Ha: u<400 at the a=.05 level. What would the rejection region be for this test?
Explain the difference between tge z-test for u usinh rejection region(s) and the z-test for u usinh a p-value.
An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279) considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 18 (78%) repairs were successful, but for shorter tears, 22 of 30 (73%) repairs were successful. A doctor would like to know if there is evidence that the success rate is greater for longer tears. The P-value for the test H0: p1 = p2 versus H1: p1 > p2 is closest to:
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Is injecting medical cement effective in reducing pain for people who have suffered fractured vertebrae? A paper describes an experiment to compare patients who underwent vertebroplasty (the injection of cement) to patients in a placebo group who underwent a fake procedure. Because the placebo procedure was similar to the vertebroplasty procedure except for the actual injection of cement, patients participating in the experiment were not aware of which treatment they received. All patients were asked to rate their pain at three different times—3 days, 14 days, and 1 month after the procedure. Summary statistics are given in the accompanying table. Pain Intensity VertebroplastyGroup Placebo Group n = 73 n = 76 mean sd mean sd 3 days 4.2 2.8 3.9 2.9 14 days 4.3 2.9 4.5 2.8 1 month 3.9 2.9 4.6 3.0 (a) Construct a 95% confidence interval for the difference in mean pain intensity between the two treatments at 14 days after treatment. (Use ?Vertebroplasty −…
A campaign was designed to convince car owners that they should fill their tireswith nitrogen instead of air. At a cost of about $5 per tire, nitrogen supposedlyhas the advantage of leaking at a much slower rate than air, so that the idealtire pressure can be maintained more consistently. Before spending huge sumsto advertise nitrogen, it would be wise to conduct a survey to determine thepercentage of car owners who would pay for the nitrogen. How many randomly selected car owners should be surveyed? Assume that we want to be 95% confident that the sample percentage is within three percentage points of the true percentage of all car owners who would be willing to pay for the nitrogen.
A research center claims that more than 27% of employees in a certain country have changed jobs in the past three years. In a random sample of 260 people from that country, 78 have changed jobs in the past three years. At α=0.05, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. a. Identify the claim and state HO and Ha. b. find the critical value(s) and identify the rejection region(s) c. Find the standardized test statistic z. d. Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

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We wish to test an effect of a drug that claimed to improves the patients with 80% of chance. The drug is given to 20 patients and we observed the number Y of people who improved. The hypothesis is Ho : p = 0.8 vs H1:p< 0.8. Use the rejection region RR = {y < 12} and answer question a-e.