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- A researcher claims that the difference between the proportion of male athletes and that of female athletes in a certain university who live in osaka is far from 7.25%. 285 male athletes have been selected at random, and 113 of them reside in osaka. On the other hand, 171 female athletes have been chosen as samples, and 67 of them are from osaka as well. At alpha = 0.01, is there sufficient evidence to support the student-researcher’s claim? (use Critical value approach)In the initial test of the Salk vaccine for polio, 400,000 children were selected and divided into two groups of 200,000. One group was vaccinated with the Salk vaccine while the second group was vaccinated with a placebo. Of those vaccinated with the Salk vaccine, 33 later developed polio. Of those receiving the placebo, 115 later developed polio. Test of the claim that the Salk vaccine is effective in lowering the polio rate. Use a significance level of 0.01.A comprehensive trial investigating the relationship between vitamin E supplementation and reduced risk for prostate cancer was carried out across the US. Suppose the trial reported that among the 648 patients receiving the supplement program, 267 developed prostate cancer, while only 212 of the 711 patients without the supplementation developed the disease. Carry out a formal test to determine if there is a significant difference in the risk for developing prostate cancer among the two groups. Write out your null and alternative hypotheses and use an alpha level of 0.05. Also, Comment on the effectiveness of the supplementation at reducing prostate cancer. What did you find relevant to the research hypothesis?
- The nutrition and food science division of Farnsworth Pharmaceuticals is alpha testing an OTC diagnostic kit so that adults who self-report a certain food allergy can affirm their insensitivity to that food allergen. Preliminary clinical trials yielded that 25% of the volunteers who suspected they had food allergies were clinically identified as sensitive or intolerant to the food allergen; unfortunately and disappointingly, only 10% of those who tested positive in the clinic also tested positive with the kit. Furthermore, of those self-reporting adult volunteers who had a negative clinic outcome, 5% tested positive anyway with the kit. [COMMENTS & HINTS: Consider clinical sensitivity to the food allergen a positive result for testing purposes. If necessary, round off percentages to the nearest hundredth, expressing as #.##% or ##.##%.] What is, therefore, the chance of a true positive outcome of this compound event: BOTH a positive result on the clinical diagnosis AND a…The nutrition and food science division of Farnsworth Pharmaceuticals is alpha testing an OTC diagnostic kit so that adults who self-report a certain food allergy can affirm their insensitivity to that food allergen. Preliminary clinical trials yielded that 25% of the volunteers who suspected they had food allergies were clinically identified as sensitive or intolerant to the food allergen; unfortunately and disappointingly, only 10% of those who tested positive in the clinic also tested positive with the kit. Furthermore, of those self-reporting adult volunteers who had a negative clinic outcome, 5% tested positive anyway with the kit. [COMMENTS & HINTS: Consider clinical sensitivity to the food allergen a positive result for testing purposes. If necessary, round off percentages to the nearest hundredth, expressing as #.##% or ##.##%.] question If 25% of the positive results from the clinical diagnoses ended up as positive result of food sensitivity or intolerance, then…The nutrition and food science division of Farnsworth Pharmaceuticals is alpha testing an OTC diagnostic kit so that adults who self-report a certain food allergy can affirm their insensitivity to that food allergen. Preliminary clinical trials yielded that 25% of the volunteers who suspected they had food allergies were clinically identified as sensitive or intolerant to the food allergen; unfortunately and disappointingly, only 10% of those who tested positive in the clinic also tested positive with the kit. Furthermore, of those self-reporting adult volunteers who had a negative clinic outcome, 5% tested positive anyway with the kit. [COMMENTS & HINTS: Consider clinical sensitivity to the food allergen a positive result for testing purposes. If necessary, round off percentages to the nearest hundredth, expressing as #.##% or ##.##%.] Question: What is, therefore, the chance of a true positive outcome of this compound event: BOTH a positive result on the clinical diagnosis…
- In recent years, concerns have been expressed about adverse health effects from amalgam dental restorations, which include mercury. The table below shows results from a study in which some patients were treated with amalgam restorations and others were treated with composite restorations that do not contain mercury (based on data from “Neuropsychological and Renal Effects of Dental Amalgam in Children,” by Bellinger, et al., Journal of the American Medical Association, Vol. 295, No. 15). Use a 0.05 significance level to test for independence between the type of restoration and sensory disorders. Do amalgam restorations appear to affect sensory disorders? Amalgam Composite Sensory disorder 36 28 No sensory disorder 231 239Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new car buyers that trade in their old car has this is  statistically significantly decreased, what can you conclude concerning the null hypothesis? A) reject the null hypothesis Or B) fail to reject the null hypothesisA student-researcher claims that the difference between the proportion of male athletes and that of female athletes in a certain university who live in Makati is far from 7.25%. 285 male athletes have been selected at random, and 113 of them reside in Makati. On the other hand, 171 female athletes have been chosen as samples, and 67 of them are from Makati as well. At alpha = 0.01, is there sufficient evidence to support the student-researcher’s claim? (Critical value approach)
- A hospital reported that the regular death rate for patients with extensive burns has beensignificantly reduced by the use of new fluid plasma compresses. Before the new treatment, themortality rate for extensive burn patients was about 60%. Using the new compresses, the hospitalfound that 40 out of 88 (45.45%) patients with extensive burns died. Use a 1% level of significanceto test the claim that the mortality rate has dropped and clearly state your conclusion.The article “Bioremediation of Soil Contaminated Crude Oil by Agaricomycetes” (Mohammad-Sichani, Assadi, et al., Journal of Environmental Health and Engineering, 2017, online) describes an experiment to determine the effectiveness of mushroom compost in removing petroleum contaminants from soil. Out of 150 seeds planted in soil containing 3% mushroom compost by weight, 74 germinated. Out of 150 seeds planted in soil containing 5% mushroom compost by weight, 86 germinated. Can you conclude that the proportion of seeds that germinate differs with the percent of mushroom compost in the soil?A random sample of 100 male employees showed that 42 are working from home while a random sample of 100 female employees showed that 63 are working from home. Are the two population proportions equal? Test at alpha=0.05. What is Ho and Ha? And what is the test statistic value for this test? Based on the test statistic value, what is your decision?