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- A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3 packages include both voice and data. How many ways are there to choose either voice or data, but not both?In 2018, a consumer goods giant had more than 20 brands with more than $1 billion in annual sales. How does the company create so many successful consumer products? They effectively invests in research and development to understand what consumers want. One method used to determine consumer preferences is called conjoint analysis. Conjoint analysis allows a company to ascertain the utility that a respondent in the conjoint study places on a design of a given product. The higher the utility, the more valuable a respondent finds the design. Suppose we have conducted a conjoint study and have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. Respondent Utilities Design A Design B Design C 1 24.6 34.4 28.8 2 31.4 31.4 33.9 3 31.8 20.2 27.8 4 15.4 26.4 25.1 5 20.7 18.3 18.2 6 41.0 34.0 44.8 7 27.1 22.5 27.3 8 20.2 21.8 27.9 9 31.6 29.4 31.3 10 24.4 29.0 29.3 At the 0.05 level of…A case-control study is being planned to see whether proximity to a nuclear power plant is associated with the development of certain cancers. 200 cases and 200 controls will be recruited and the distance from the nearest nuclear power plant will be dichotomized as close (< 3 miles) or far (≥ 3 miles). Use SAS to complete each problem below. (a) It is believed that about 4% of controls live close to the plant and the OR that investigators would be interested in detecting is 3.5. Assuming that a 2-sided, 5% level test will be conducted, what power will the test have for detecting a significant association between cancer and proximity to the power plant? (b) If we still assume a 2-sided, 5% level test, the same exposure probability among controls, same OR, and equal numbers of cases and controls, what will the sample size need to be to have a power of 80%? (c) Since investigators find it very difficult to recruit cases, they decide to recruit three times as many…
- The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. Do you retain or reject the null hypothesis? Retain the null. Reject the null.The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. What is the probability of Z OBT being more than alphs? (round to the nearest hundredth)The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. What is the zcrit?
- The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. What are the hypotheses? A Null: p=0.95 Alternate: p=0.95 B Null: p=0.95 Alternate: p<0.95 C Null: p=0.95 Alternate: p>0.95 D Null: p=0.55 Alternate: p =/ 0.95The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. . What is the Z CRIT? A + 1.96 B + 1.645 C - 1.96 D - 1.645The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. What kind of test will you need to perform? A A right, one-tailed z-test B A left, one-tailed z-test C A two-tailed z- test
- A psychologist at the Hospital was asked to determine whether there was any clear difference in the length of stay (in days) of patients with different categories of diagnosis. The hospital was looking for ways to reduce costs and free up some more beds so that they could treat more patients from the community. They chose three diagnostic categories that they thought were possibly staying the longest and selected the 4 more recent admissions from each of these diagnostic categories: affective disorders, cognitive disorders, and drug-related disorders. The results are presented in Table 3 below. Using an alpha = .05 and showing all the steps of hypothesis testing, is there a significant difference in length of stay among diagnosistic categories?Tuff Rubbers, a tire manufacturer, knows that 5% of the tires it produces are defective. To reduce the number of defective tires that make it to market, the manufacturer uses a special device to test each tire before shipping it out. The test will correctly detect a defective tire 97% of the time. However, the test will incorrectly indicate a good quality tire is defective 6% of the time. If the test indicates a tire is defective, the tire is recycled. Otherwise, the tire makes it to market. Let D represent the event a tire is defective, and T represent the event the test indicates a tire is defective. In each part of this question, express each probability only in terms of the events D and T and justify any computation by explicitly stating the formula you are using. (a) Express each of the three probabilities listed above in terms of the events D and T. (b) What percentage of tires are recycled? (c) What percentage of recycled tires are not defective? (d) What percentage of…A social and personality psychologist thinks that creativity differs by personality traits, rather than the traditional view that it is a cognitive process. Specifically, this psychologist thinks that introverts are more creative than extraverts. The researcher gives a personality test to a group of 16 university students and then separates them based on the assessment results into 2 groups: the extraverts and the introverts. The participants are then asked to write a short story which is rated on creativity by a well-known author. The creativity scores range from 0 to 20 on an interval scale, where higher scores indicate greater creativity. The results are shown in Table 2. Using the 0.05 alpha level, are introverts more creative than extroverts? Use all of the steps of hypothesis testing. extrovert introvert 8 18 7 17 11 10 3 14 5 16 8 15 7 19 4 12