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- indicate whether the analysis involves a statistical test. If it does involve a statistical test, state the population parameter(s) of interest and the null and alternative hypotheses. a)Giving a Coke/Pepsi taste test to random people in New York City to determine if there is evidence for the claim that Pepsi is preferred. b)Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left. c)Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.Erythropoietin (EPO) is a banned drug used by athletes to increase the oxygen-carrying capacity of their blood. New tests for EPO were first introduced prior to the 2000 Olympic Games held in Sydney, Australia. Chance (Spring 2004) reported that of a sample of 830 world-class athletes, 159 did not compete in the 1999 World Championships (a year prior to the new EPO test). Similarly, 133 of 825 potential athletes did not compete in the 2000 Olympic Games. Use a 90% confidence interval to compare the two proportions. Was the new test effective in deterring an athlete’s participation in the 2000 Olympics? Use the CI information to make your conclusionA bank has recently acquired a new branch and thus has customers in this new territory. They are interested in the default rate in their new territory. They wish to test the hypothesis that the default rate is different from their current customer base. The sample 200 files in area A, their current customers, and find that 20 have defaulted. In area B, the new customers, another sample of 200 files shows 12 have defaulted on their loans. At a 10% level of significance can we accept/reject the null hypothesis H0 : pA = pB against the alternative hypothesis Ha : pA ≠ pB? a. Hull hypothesis CAN NOT be rejected at 10% confidence level. b. Hull hypothesis CAN be rejected at 10% confidence level.
- Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2198 passenger cars in a particular region, 237 had only rear license plates. Among 325 commercial trucks, 47 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05significance level to test that hypothesis.Erythropoietin (EPO) is a banned drug used by athletes to increase the oxygen-carrying capacity of their blood. New tests for EPO were first introduced prior to the 2000 Olympic Games held in Sydney, Australia. Chance (Spring 2004) reported that of a sample of 830 world-class athletes, 159 did not compete in the 1999 World Championships (a year prior to the new EPO test). Similarly, 133 of 825 potential athletes did not compete in the 2000 Olympic Games. Was the new test effective in deterring an athlete’s participation in the 2000 Olympics? If so, then the proportion of nonparticipating athletes in 2000 will be greater than the proportion of nonparticipating athletes in 1999. Use a 98% confidence interval to compare the two proportions and make the proper conclusion.1. Please help with that which is iin bold Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2051 passenger cars in a particular region, 227 had only rear license plates. Among 387 commercial trucks, 55 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.10 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. a. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. A. H0: p1=p2…
- A hospital director is told that 56% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is below the expected percentage. A sample of 210 patients found that 105 were insured. Make the decision to reject or fail to reject the null hypothesis at the 0.05 level. Is it reject null hypothesis or fail to reject null hypothesis?The Human Society of South Africa reports that there are approximately 77.5 million dogs owned in South Africa and that approximately 40% of all South African households own at least one dog. In a random sample of 300 households, 114 households said that they owned at least one dog. Suppose you must test the hypothesis at 5% level of significance that the data provide sufficient evidence to indicate that the proportion of households with at least one dog is different from that reported by the Human Society of South Africa. 1. Determine (I) the alternative hypothesis to be tested: (ii) the value of test statistic: (iii) the p-value for this problem and the conclusion.In a sample of 81 adults selected from one town, it is found that 8 of them have been exposed to a particular strain of the flu. At the 0.01 level of significance, you wish to test the claim that the proportion of all adults in the town that have been exposed to this strain of flu is 8%. A)Give the null and alternative hypotheses and state whether this is one or two tailed test. B)Compute test statictic. C) Use the traditional method to decide if you should reject the null hypothesis or not. D) Use the P-value method to decide if you should reject the null hypothesis or not.
- Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of last minute files who mail their tax return during the last five days of the income tax period. A researcher suggest that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ =$1600 may be assumed. What is the p-value? At α=.05, what is your conclusion? Repeat the preceding hypothesis test using the critical value approach.The average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?A breathalyser test is used by police in an area to determine whether a driver has an excess of alcohol in their blood. The device is not totally reliable: 6 % of drivers who have not consumed an excess of alcohol give a reading from the breathalyser as being above the legal limit, while 10 % of drivers who are above the legal limit will give a reading below that level. Suppose that in fact 12 % of drivers are above the legal alcohol limit, and the police stop a driver at random. Give answers to the following to four decimal places. Part a) What is the probability that the driver is incorrectly classified as being over the limit? Part b) What is the probability that the driver is correctly classified as being over the limit? Part c) Find the probability that the driver gives a breathalyser test reading that is over the limit. Part d) Find the probability that the driver is under the legal limit, given the breathalyser reading is also below the limit.