An insurance company proposes two health insurance plans for the employees of a company. Plan A is the basic plan and covers only the medication expenses in case of hospitalization, whereas Plan B reimburses all medical expenses of the employees. As a human ressources manager, you are required to estimate how many employees will opt for Plan B. The manager randomly asks 94 emplyees and 24 of them prefer Plan B. Find the lower confidence limite (LCL) of the 98% confidence interval estimate for the population proportion of employees who will prefer Plan B. Round your answer to three decimal places.

A statistics professor at a major university asked her students whether or not they wereregistered to vote. In a sample of 50 of the randomly sampled statistics students (from over1000 students), 35 said they were registered to vote. Find a 98% confidence interval and makea conclusion based upon those results.

The last poll of 144 voters in Iowa shows that 19% of voters will vote for him in the Iowa Presidential Caucus.  What is the 99% confidence interval of his support level in Iowa?

In a survey, 545 college students are randomly selected and asked whether or not they own a car. Of those surveyed, it is found that 210 own a car. Use this data to find a 99% confidence interval for the true proportion of all college students who own a car.

The personality characteristics of business leaders (e.g., CEOS) are related to the operations of the businesses that they lead (Oreg & Berson, 2018). Traits like openness to experience are related to positive financial outcomes and other traits are related to negative financial outcomes for their businesses. Suppose that a board of directors is interested in evaluating the personality of their leadership. Among a sample of n = 16 managers, the sample mean of the openness to experiences dimension of personality was M = 4.50. Assuming that u = 4.24 and o = 1.05 (Cobb-Clark & Schurer, 2012), use a two-tailed hypothesis test with a = .05 to test the hypothesis that this company's business leaders' openness to experience is different from the population. Standard Normal Distribution Mean - 0.0 Standard Deviation 1.0 .7198 .1401 .1401 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 -1.08 1.08 Step 1. Ho: ; H;: a = .05. Step 2. The critical region consists of Step 3. For these data the standard error is and…

Wildlife biologists inspect 180 deer taken by hunters and find 36 of them carrying Lyme disease ticks. Calculate a 95% confidence interval for the proportion of deer that carry Lyme disease ticks.

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?

A statistics student wants to conduct a study to determine the proportion of workers in Cititon who commute to another town for work. If the student wants a 90% confidence interval with a margin of error of 2%, how many workers should be in her sample?

A doctor wanted to study the effect of four different treatments on mental health. A group of 100 adults experiencing depression volunteered for the study. The doctor randomly assigned one-fourth of them to each of four groups. Group 1 followed a specific exercise plan, group 2 followed a specific diet plan, group 3 followed an exercise and diet plan, and group 4 did not follow any plan. After 4 weeks, the doctor contacted each participant and asked them if they felt any better. The results are displayed in the table.    The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. The random condition is met. The 10% condition is not needed because random sampling did not take place. This table of expected counts shows that all expected counts are at least 5.   What is the value of the chi-square test statistic? χ‑2 = 5.03 χ‑2 = 6.26 χ‑2 = 25.33 χ‑2 = 39.22