Question. During a recent election, a clerk was responsible for the placement of candidate’s names on election ballots for a particular voting precinct. Party A candidates were selected for the first position in 30 of 50 ballots. Because the clerk was supposed to use a method of random selection, Party B claimed that instead of using randomness, the clerk used a method favoring Party A. Use a 0.05 significance level to test the claim that the method favored Party A. [Note: Favored means a proportion greater than 50%.] A. Clearly identify and state the null hypothesis H0 and the altern

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

Does artistic ability determine which type of operating system a person prefers? Suppose that a market research company randomly selected n = 259 adults who used a desktop or laptop outside of the workplace (tablets and smartphones were excluded). The subjects were asked to identify the operating system of the desktop or laptop they used the most. The operating systems were classified as Windows, Mac OS, and Linux. There were no other operating systems reported in the survey. The subjects were administered a test for creative imagery ability (TCIA), and based on the results, were classified as being exceptionally artistic or not. Exceptionally artistic was defined as being above the third quartile (the top 25 percent) of all people who took the TCIA. The table contains the results of the study. Windows Mac OS Linux Total Exceptional 46 53 Not exceptional 182 14 10 206 Total 228 18 13 259 If you wish, you may download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text…

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 from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne