16.) In a small preliminary drug trial, 5 people are given version A of the medication, 5 people are given version B, and 5 people are given a placebo. If a random sample of 6 participants is selected for evaluation, what is the probability that at most 2 of them were given the placebo?
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16.) In a small preliminary drug trial, 5 people are given version A of the medication, 5 people
are given version B, and 5 people are given a placebo. If a random sample of 6 participants is
selected for evaluation, what is the
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- In randomized, double-blind clinical trials of a new vaccine, toddlers were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 121 of 379 subjects in the experimental group (group 1) experienced nausea as a side effect. After the second dose, 150 of 595 of the subjects in the control group (group 2) experienced nausea as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced nausea as a side effect than subjects in group 2 at the α = 0.10 level of significance?In a large clinical trial, 401,602 children were randomly assigned to two groups. The treatment group consisted of 201,876 children given a vaccine for a certain disease, and 27 of those children developed the disease. The other 199,726 children were given a placebo, and 108 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n₁. P₁. 9₁. 0₂. P2. 42. P. and q. ASyringes, pens, jet injectors, pumps, ports and even inhalers are the various ways for diabetics to take insulin. Currently most diabetics take insulin using syringes or pens. A research study was completed to compare the effectiveness of these two different methods of delivering insulin to diabetics. Two independent random samples of 100 diabetics comprising Group A (using syringes) and 100 diabetics comprising Group B (using pens). Both groups were carefully monitored and their glucose levels measured in mg/dl (milligrams per deciliter) two hours after injections. Their glucose levels were compared and a 95% confidence interval for the true mean glucose levels for Group A minus the true mean glucose levels for Group B was computed to be: (–11.45, 5.32). A. We are 95% confident that there is no statistically significant difference between the true mean glucose levels for Group A and the true mean glucose levels for Group B. B. We are 95% confident that the true mean glucose…
- What would the test statistic and p-value be for this? Thanks!A random sample of 100 rich men faculty and 100 rich women faculty at a Premier University is asked if they have an automobile on campus. If 31 of the rich men and 24 of the rich women have cars, can we conclude that more men than women have cars on the campus? Use a 0.01 level of significance.Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
- True or False: Suppose I conducted a study using random assignment. This suggests that I took great effort to ensure that all of my subjects had an equal chance of being in either group.In randomized, double-blind clinical trials of a new vaccine, children were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 125 of 746 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 82 of 627 of the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the a= 0.01 level of significance? Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. Is it sufficient for him to use a simple random sample of 173 cars if hybrids currently account for 8%of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?
- In randomized, double-blind clinical trials of a new vaccine, monkeys were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 117 of 750 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 74 of 631 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the a = 0.05 level of significance? Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are one would expect a sample difference proportion the one observed in about out of 1000 repetitions of this experiment. (Round to the nearest integer as needed.) State the conclusion for this hypothesis test. A. Reject Ho.…A dowser has correctly located water for a well 1 out of 2 times in Jones County. In Jones County, someone who is just guessing has a 40% chance of locating water for a well. Does this sample provide sufficient evidence that the dowser can locate water and is not just guessing?6) Any basketball fan knows that Shaquille O’Neal, one of the NBA’s most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one off-season, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-throw shooting using a 0.05 significance level. Check the conditions of the Central Limit Theorem for this scenario. Calculate the number of failures.
