In a sample of 131 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. In a sample of 250 women with cosmetic dermatitis from using mascara, 25 were diagnosed with a nickel allergy Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. Interpret the result. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy. Interpret the result. Suppose you are informed that the true proportion with a nickel allergy for one of the two groups (eye shadow or mascara) is.12. Can you determine which group is referenced? Explain. 6. a) b) c)
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- A survey by the society of Human Resource Management asked 350 job seekers why employees change jobs so frequently. The answer selected most (126 times) was "higher compensation elsewhere" as the reason for changing jobs. Then the 95% confidence interval estimate for the population proportion of job seekers who would select "higher compensation elsewhere" as the reason for changing jobs is approximately.A statistical study is made to compare the % of smokers in small rural towns to the overall smoking rate of the US. Of 1500 asults selected randomly from small towns it is found that 285 of them smoke. With a cofidence interval of (017, 0.21). The CDC reports that 15.1% of all American adults smoke. Does the confidence interval suggest that smoking rate is higher in small towns than in the country overall?In August 2005, researchers for the American Society for Microbiology and the Soap and Detergent Association monitored the behavior of more than 6300 users of public restrooms. They observed people in public venues such as Turner Field in Atlanta and Grand Central Station in New York City. They found that 2393 of 3206 men washed their hands, compared to 2802 of 3130 women. For each gender, construct a 99% confidence interval for the population proportion who wash their hands in public restrooms. (4 decimals)
- A recent survey of two countries in South America reports on data about foreign-born citizens. Of 500 randomly selected people in Peru, 125 reported as being born in another country; meanwhile, 75 of 800 randonly selected Argentinians reported as being foreign-born. Use this information to create a 95% confidence interval for the true difference in proportions of foreign born citizens between Peru and Argentina.A trade magazine routinely checks the drive-through service times upper bound of 163.1 seconds. What does this mean? fast-food restaurants. An 80% confidence interval that results from examining 563 customers in one fast-food chain's drive-through has a lower bound of 159.5 seconds and an Choose the correct answer below. O A. One can be % confident that the mean drive-through service time of this fast-food chain is seconds O B. One can be % confident that the mean drive-through service time of this fast-food chain is between seconds and seconds. O C. The mean drive-through service time of this fast-food chain is seconds % of the time. O D. There is a % probability that the mean drive-through service time of this fast-food chain is between seconds and seconds.A study of 420,039 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0443% for those not using cell phones. Complete parts (a) and (b). ..... a. Use the sample data to construct a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. • D%A random sample of ni = 262 people who live in a city were selected and 104 identified as a "dog person." A random sample of n2 = 117 people who live in a rural area were selected and 50 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. < pi - P2 -A study of 420,097 cell phone users found that 137 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0311% for those not using cell phones. Complete parts (a) and (b). .... a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %A phase three clinical trial for a new medication proposed to treat depression has 1191 participants. If all these individuals are from the group of individuals who were given the medication and 759 individuals who received the medication experienced improvement in their symptoms of depression, construct a 90% confidence interval for the true proportion of individuals on the medication who experienced improvement in their symptoms of depression.After surveying a random sample of 300 students in an online degree program, 86% believed that their classes were worth the cost they were paying. The results from a survey of 345 randomly selected students who were in a face-to-face degree program who had also taken some online courses, showed that 84% of them believed those online courses were worth the cost. Construct a 90% confidence interval for the difference between the two groups of students.A researcher studying reaction time of drivers states that, "A 95% confidence interval for the mean time it takes for a driver to apply the brakes after seeing the brake lights on a vehicle in front of him is 1.2 to 1.8 seconds." What are the point estimate and margin of error for this interval? Point estimate = 1.5 seconds; margin of error = 0.95 seconds. Point estimate = 1.2 seconds; margin of error = 0.3 seconds. Point estimate = 1.5 seconds; margin of error = 0.6 seconds. Point estimate = 1.5 seconds; margin of error = 0.3 seconds. a O b O dThe Consumer Product Safety Commission regulates products sold for use with children. An investigator is tasked with determining whether a male child will get sick after being exposed to a certain brand of house paint than a female child. Data was collected that on 1854 children between the ages one and four, all of whom were exposed to the same brand of house paint. 985 were boys, while 869 were girls. Determine a 95% confidence interval for the difference in proportions of male and female children, ages one to four, who will get sick. Round to four decimal places.With % confidence, it can be concluded that the difference in proportions of between male and female children, ages one to four, who get sick after being exposed to this brand of house paint is (p1 - p2) is between BLANK and BLANK .Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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