Under what three conditions are repeated trials of an experiment called Bernoulli trials?
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Under what three conditions are repeated trials of an experiment called Bernoulli trials?
Solution: We have to determine under what three conditions are repeated trials of an experiment called Bernoulli trials
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- List the three requirements for repeated trials of an experiment to constitute Bernoulli trials.which of the following are correct? I. One purpose of a double-blind study is to control for researcher bias and placebo effect. II. The main purpose of randomizing individuals to treatment groups is to control for bias. III. Replication is used to help reduce chance variation in experiments.You are investigating whether a new treatment for depression works better than two established treatments. You randomly assign 90 participants to one of three groups (New Treatment. Established Treatment 1, and Established Treatment 2). Because these are all new types of treatment for depression you don't have any previous research or theory on which to suggest that one treatment will be better or worse than another. After the experiment is completed you explore the mean group differences you found. In so doing you would be conducting O Tukey's post hoc tests O a correlated groups t-test O effect sizes an a priori (planned) comparison
- an automobile engineer claims that 1in 10 automobile accidents are due to driver fatigue . if a random sample of 5 accidents observed , then the probabilty that 3 accidentsare due to drive fatigue isResearchers 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?Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
- 9. Nicotine patches are often used to help smokers quit. Does giving medicine to fight depression also help? A randomized double-blind experiment assigned 244 smokers to receive nicotine patches and another 245 to receive both a patch and the antidepressant drug bupropion. After a year, 40 subjects in the nicotine patch group had abstained from smoking, as had 87 in the patch-plus-drug group. (a) Construct and interpret a 99% confidence interval for the difference in the proportion of smokers who abstain when using buproprion and a nicotine patch and the proportion who abstain when using only a patch. (b) Based only on this interval, do you think that the difference in proportion of abstaining smokers is significant? Justify your answer.4. In clinical trials for treatment of a skin disorder, 697 of 2115 patients receiving a NEW proposed treatment were cured of the disorder and 642 of 2060 patients receiving the current standard treatment were cured of the disorder. Each sample is the result of a randomized experiment. Perform a Hypothesis Test using a = 0.05 level of significance, and determine if there is evidence to conclude that the NEW treatment cures a higher proportion of patients than the current treatment. 1) Set up a Hypothesis Test, 2) verify requirements, 3) use both the classical and p-value approach to justify and show results of the Hypothesis Test, and 4) state your conclusion.According to a book published in 2011, 45% of the undergraduate students in the United States show almost no gain in learning in their first two years of college (Richard Arum et al., Academically Adrift, University of Chicago Press, Chicago, 2011). A recent sample of 1540 undergraduate students showed that this percentage is 37%. Can you reject the null hypothesis at a 2.5% significance level in favor of the alternative that the percentage of undergraduate students in the United States who show almost no gain in learning in their first two years of college is currently lower than 45%. Use both the p-value and the critical-value approaches. Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places. Zobserved = p-value = Critical value = i Hence we can conclude that the percentage of undergraduate students in the U.S. who show almost no gain in learning in their fırst two years of college is currently 45%.
- In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. If we want to use the methods for testing a claim about two population proportions to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for a hypothesis test satisfied? Explain. A The requirements are not satisfied; the samples are not simple random samples that are independent. B. The requirements are satisfied; the samples are simple random samples that are independent, and for each of the two groups, the number of successes is at least 5 and the number of failures is at least 5. C. The requirements are satisifed; the samples are simple random samples…12. An investigator reviewed the medical records of 200 children seen for care at Boston Medical Center in the past year who were between the ages 8-12 and identitied 40 with asthma He also identified 40 children of the same ages who were free of asthma Each child and their family were interviewed to assess whether there might be an association between certain environmental factors such as exposure to second hand smoke. This study is an example of a: a. randomized controlled trial b. case-control study c. cohort study d. crossover trialThe worker on examining his 20 rainfall sample points concluded that it is more than likely to rain on this May 1st. Describe two or three statistical steps he took to arrive at this conclusion.