Some form of prophylaxis is said to be 90% effective at prevention during one year's treatment. If the degrees of effectiveness in different years are independent, show that the treatment is more likely than not to fail within 7 years
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Some form of prophylaxis is said to be 90% effective at prevention during one year's treatment. If the degrees of effectiveness in different years are independent, show that the treatment is more likely than not to fail within 7 years
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- An antidepressant has historically been known to relieve depression for 65% of patients who use the drug. The drug's formula was changed recently to include smaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version of the drug, the proportion, p, of people who find relief is lower than 65%. A random sample of 240 patients who use the new version is selected by the researcher, and 149 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. Ho :0 H¡ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the…An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 9 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 9 differences (Variety A - Variety B) give x¯=3.35x¯=3.35 and s=4.61s=4.61. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)H0H0 : HaHa : (b) Find the test statistic, t = (c) Answer the question: Does this sample provide evidence that Variety A had a higher yield than Variety B? (Use a 5% level of significance)(Type: Yes or No)The Elisa test for the human immunodeficiency virus (HIV) that causes AIDS has been used in the screening of blood donations. As with most medical diagnostics test, the ELISA test is not infallible. If a person actually carries HIV, experts estimate that this test gives a positive result 97.7% of the time (the number is called the sensitivity of the test. If a person does not carry HIV ELISA gives a negative result 92.6% of the time. Suppose that 0.5% of the public carries HIV.
- you randomly select 15 apple tree locations and 15 citrus tree locations from different forests. Each location is 1000 m² in size. Now you randomly create 10 zones within each forest (300 total) and measure plant biomass in each for three years (900 being the final tally) determine the population of interest, the dependent variable, the independent variable, and if the independent variable is being observed or controlled/manipulated, and number of replicates pseudoreplicates.An article published in the American Journal of Hypertension reported the results of a longitudinal study on blood pressure. Ten years ago, 51 out of 188 people evaluated were classified as having high blood pressure. This year, 63, out of 194 people evaluated were classified as having high blood pressure. Based on the results of this study, can one conclude that the proportion of people in the population with high blood pressure has increased in the last ten years? Use a = 0.05. I can't find the sign=a I hope someone will know what I am talking about.Two different blood pressure medicines are being compared to determine if the average reduction in blood pressure is the same for each medication. The goal of the study is to determine if the medications differ. Twenty men age 50-60 years old are selected for the study. Ten men are chosen at random to receive the first medication and the other 10 men receive the second medication. Each of the 20 men is monitored for one month to determine the change in blood pressure over that time. Minitab provides the 95% confidence interval for (mu1 - mu2) (2.63, 14.18) a. Interpret this 95% CI. b. What assumptions (be specific) are necessary to construct this CI?
- People gain weight when they take in more energy from food than they expend. Researchers wanted to investigate the link between obesity and energy spent on daily activity. Choose 20 healthy volunteers who don't exercise. Deliberately choose 10 who are lean and 10 who are mildly obese but still healthy. Attach sensors that monitor the subjects' every move for 10 days. The table below presents data on the time (in minutes per day) that the subjects spent standing or walking, sitting, and lying down. Is there a significant difference between the mean times the two groups spend lying down? Let ?1 be the mean time spent lying down by the lean group, and ?2 be the mean time for the obese group. Time (minutes per day) spent in three different postures by leanand obese subjects Group Subject Stand/Walk Sit Lie Lean 1 509.100 366.300 554.500 Lean 2 603.925 374.512 452.650 Lean 3 322.212 580.138 533.362 Lean 4 581.644 362.144 489.269 Lean 5…Alzheimer’s Testing for Alzheimer’s disease can be along and expensive process, consisting of lengthy testsand medical diagnosis. Recently, a group of researchers(Solomon et al., 1998) devised a 7-minute test to serveas a quick screen for the disease for use in the general population of senior citizens. A patient who tested posi-tive would then go through the more expensive battery of tests and medical diagnosis. The authors reported a falsepositive rate of 4% and a false negative rate of 8%.a) Put this in the context of a hypothesis test. What arethe null and alternative hypotheses?b) What would a Type I error mean?c) What would a Type II error mean?d) Which is worse here, a Type I or Type II error? Explain.e) What is the power of this test?You may need to use the appropriate appendix table or technology to answer this question. Approximately 50% of all caregivers of older adults are caring for someone with memory loss (due to is percentage of caregivers caring for older adults with memory loss. This year, in a random sample of 400 caregivers, 181 were caring for older adults with memory loss uch as Alaheimer's or dementia). It is beleved that there has been a reduction in the (a) State the null and the alternative hypotheses. (Enter t for as needed.) (b) At the 0.05 level using the critical value approach, determine if there has been a significant reduction in the proportion of caregivers caring for adults with memory loss Compute the test statistk. Determine the critical value(s) for this test. (Round your answerta) to two decimal places. If the test is one-taled, enter NONE for the unused tal.) test statisticS test statistic State your condusion. O Reject Ha There is insufficient evidence to support the claim that the…
- Early life corresponds to the first bacterial colonization of the digestive tract, creating a microbiome thought to play an important role in human development. What might be the effect of early exposure to antibiotics on children's development? One study followed 11,532 full-term babies all born in the county of Avon, United Kingdom, during 1991 and 1992. Exposures to antibiotics during infancy were recorded, along with measures of body mass at regular intervals over several years. The researchers found that antibiotic exposure during the first six months of life was associated with increased body mass later in childhood.jake suspects that individuals with an optimistic world view live longer than individuals with a pessimistic view. Sate the research hypothesis the null hypothesis cases independent variable dependent variableAnkylosing spondylitis is an inflammatory disease which affects the spine and sacroiliac joint and can lead to the fusing of vertebrae in the spine. Exercise is important in helping manage pain, therefore a pharmaceutical company wanted to test if their new biologic would increase the time a patient could exercise before experiencing discomfort. The following table gives the time (in minutes) seven patients were able to exercise before reporting pain, both at baseline and then again after six months of taking the biologic.Exercise Time (in minutes)Subject 1 Baseline 30 Post-treatment 40Subject 245 40Subject 350 60Subject 435 37Subject 555 60Subject 620 25Subject 775 75Assume the population(s) of all exercise times is (are) normally distributed. Use JMP to test whether the evidence suggests that the time a person with ankylosing spondylitis can exercise before experiencing discomfort increases after taking this new biologic. Validate the test statistic from JMP by computing it manually.…