A week before a state election, a random sample of voters from City J and a random sample of voters from City K were taken. Of the 100 voters selected from City J, 65 indicated they were supporting a certain candidate for state senate. Of the 125 voters selected from City K, 75 indicated they were supporting the candidate. Which of the following is the correct test statistic for a two-sample z-test for a difference in population proportions for the two cities (J minus K) in their support for the candidate?

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…

A group of statisticians decides they will answer the question:  Has the wolf reintroduction to Yellowstone been detrimental to elk herds in the park?  They decide that each of the four data scientists will take a quadrant of the park to collect a sample from as randomly as possible.  They decide they will collect the sample during the winter, the time the elk herds are most stressed.  They agree to trust each others professional judgement when it comes to the health of the individual elk in the herd.  They will give each elk a grade out of 3pts: 1 pt for sick, 2pts for fair, and 3pts for healthy.  They then share their data and compare to create a final report on the overall health of the elk in the park. In this scenario, what is the same for all samples (the control)?

A group of statisticians decides they will answer the question:  Has the wolf reintroduction to Yellowstone been detrimental to elk herds in the park?  They decide that each of the four data scientists will take a quadrant of the park to collect a sample from as randomly as possible.  They decide they will collect the sample during the winter, the time the elk herds are most stressed.  They agree to trust each others professional judgement when it comes to the health of the individual elk in the herd.  They will give each elk a grade out of 3pts: 1 pt for sick, 2pts for fair, and 3pts for healthy.  They then share their data and compare to create a final report on the overall health of the elk in the park. In this scenario, what is one of the factors that could negatively effect sample collection?