. Dementia is a common mental health problem affecting those over 65. It is believed that of those that have dementia, 31% worsen in mental cognition. Acetyl-l-carnitine (ALC) is a drug that is used to determine if it will be beneficial with those with dementia. In a clinical trial, 98 patients are given the drug and their cognition is observed. Of the 98 patients, only 28 worsened. Construct a test to determine whether ALC decreased the proportion of patients who worsen from dementia. a) State the null and alternative hypotheses. b) Find the test statistic. Round to two decimal places. c) Find the p-value. Round to four decimal places.
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- What is meant by the sample space of an experiment?To examine adolescent substance abuse, Li, Pentz, and Chou (2002) surveyed 1,807 middle school students from 57 schools. The results showed that a greater risk of adolescent substance abuse was associated with increasing numbers of parents and friends who were sub- stance abusers. However, friends’ use did not affect adolescent substance abuse when parents were nonusers. Is this an example of a research design?Are sexually active teenagers any better informed about AIDS and other potential health problems related to sex? A 15-item test of general knowledge about sex and health was administered to random samples of teens who are sexually inactive, teens who are sexually active but only with a single partner ("going steady"), and teens who are sexually active with more than one partner. Is there any significant difference in the test scores?
- According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in the U.S. in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumers ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a different proportion of identity theft than 23%? Test at 5% 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?
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