In clinical tests of the drug Lipitor (generic name, atorvastatin) 863 patients were treated with 10 mg doses of atorvastatin, and 19 of those patients experienced flu symptoms (based on data from Parke-Davis). Use a 0.01 significance level to test the claim that the percentage of treated patients with flu symptoms is greater than the 1.9% rate for patients not given the treatments.
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- What is meant by the sample space of an experiment?The research department at the home office of New Hampshire Insurance conducts on-going research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three-year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the .05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three year period? Determine the p-value.An RCT was designed to test the effectiveness of naltrexone, an opiate receptor antagonist, as a treatment for alcohol dependence. Subjects with chronic severe alcohol dependence were randomly assigned to either 3 months of naltrexone treatment or 3 months of placebo treatment. The number of drinks per drinking day was compared between the two groups. Let μ1= population mean number of drinks per drinking day for those on Naltrexone and μ2= population mean number of drinks per drinking day for those on placebo. The data from the study are summarized in the table below. Naltrexone(n1 = 196) Placebo (n2=195) Mean Number of drinks perdrinking day Xbar1=10.5 Xbar2=9.3 Standard Deviation of Numberof drinks per drinking day S1= 80 S2= 7.0 The investigators want to test whether there is a significant difference between the two groups using a 5% significance level. 1. What is the most appropriate test to address the investigators’ research question? a. Pearson’s Chi-Squared…
- In a survey, 716 out of 1132 randomly selected adults in the United States said that they use cell phones while driving. a) Use a 0.02 significance level when testing the claim that the proportion of adults who use cell phones while driving is different than 70%. b) What does the conclusion mean?A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. 1.Compute the p-value. 2. Does the evidence support the computer manufacturer's claim at the 10% significance level?A doctor is concerned that nausea may be a side effect of Tamiflu, but is not certain because nausea is common for people who have the flu. She researched some past studies, and found that about 25% of people who get the flu and do not use Tamilflu experience nausea. She then collected data on 2492 patients who were taking Tamiflu, and found that 589 experienced nausea. Use a 0.01 significance level to test the claim that the percentage of people who take Tamiflu for the relief of flu symtoms and experience nausea is 25%. What is the test statistic for the given statistics? What is the p-value for this test?
- A doctor is concerned that nausea may be a side effect of Tamiflu, but is not certain because nausea is common for people who have the flu. She researched some past studies, and found that about 25% of people who get the flu and do not use Tamilflu experience nausea. She then collected data on 2492 patients who were taking Tamiflu, and found that 589 experienced nausea. Use a 0.01 significance level to test the claim that the percentage of people who take Tamiflu for the relief of flu symtoms and experience nausea is 25%. What is the p-value for this test?A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. d. Does the evidence support the computer manufacturer's claim at the 10% significance level?Many elementary school students in a school district currently have ear infections. A random sample of children in two different schools found that 15 of 42 at one school and 22 of 40 at the other have ear infections. At the level of significance, is there sufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools?
- In a random survey of 1500 adults in California and 1000 in Oregon, you find that percentage of smokers is 15.2% and 18.5% respectively. At a 1% significance level, is there enough evidence to conclude that the proportion of adults who are smokers is lower in California than in Oregon? (Show hand calculations)Suppose 225 subjects are treated with a drug that is used to treat pain and 55 of them developed nausea. Use a 0.01 significance level to test the claim that more than 20% of users develop nausea. If H0: p=20 and H1; p is greater than 0.20, find the test statistic, z score, and determine whether the hypothesis is rejected.A national publishing house claims that 45% of all weekly magazine readers in South Africa read their publication. Test this claim at the 5% significance level, if a survey found that 205 out of a random sample of 500 magazine readers said that they read the relevant publication.