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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. A

When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls ▼ Does the mean of the sample proportions equal the proportion of girls in two births? O A. Yes, both the mean of the sample proportions and the population proportion are 4 1 O B. Yes, both the mean of the sample proportions and the population proportion are 3 O C. Yes, both the mean of the sample proportions and the population proportion are 1 2 O D. No, the mean of the…

It is difficult to conduct sample surveys on sensitive issues because many people will not answer questions if the answers might embarrass them. Randomized response is an effective way to guarantee anonymity while collecting information on topics such as student cheating or sexual behavior. Here is the idea. To ask a sample of students whether they have plagiarized a term paper while in college, have each student toss a coin in private. If the coin lands heads and they have not plagiarized, they are to answer "No." Otherwise they are to give "Yes" as their answer. Only the student knows whether the answer reflects the truth or just the coin toss, but the researchers can use a proper random sample with follow-up for nonresponse and other good sampling practices. Suppose that in fact the probability is 0.4 that a randomly chosen student has plagiarized a paper. Draw a tree diagram in which the first stage is tossing the coin and the second is the truth about plagiarism. The outcome at…