rtune magazine reported the results of a survey on executive training that was conducted by the Association of Executive Search nsultants. The survey showed that 75 percent of 300 polled CEOs believe that companies should have "fast-track training grams" for developing managerial talent. Suppose we wish to use the results of this survey to justify the claim that more than 70 percent of CEOs believe that companies ould have fast-track training programs. Assuming that the 300 surveyed CEOs were randomly selected, and assuming, for the sake argument, that 70 percent of CEOs believe that companies should have fast-track training programs (that is, p= .70), calculate the obability of observing a sample proportion of .75 or more. That is, calculate P(2.75). (Round your answer to u to 2 decimal places. und your final answers to 4 decimal places. Do not round the intermediate calculations.) (p-hat) (p-hat) (p-hat) ≥ 0.75) Based on the probability you computed in part a, would you conclude that more than 70 percent of CEOs believe that companies ould have fast-track training programs? O Yes O No

2. We want to investigate whether there exists gender bias on traffic stops by the police here in Charlotte. The Charlotte Open Data Portal includes information on different characteristics of drivers being stopped. We collected the data from 2017 and we are interested in answering the question: "Of all the drivers who are stopped, are female drivers less likely to get searched than male drivers? From the data collected we observed that 438 out of the 24,314 female drivers were searched, whercas 2,244 out of 34,095 male drivers were scarchcd. (a) that the proportion of female drivers being searched is smaller than the proportion of male drivers being searched? Is there sufficient evidence at the 0.05 significance level to conclude Construct the appropriate confidence interval for the hypothesis (b) test of part (a) and state your conclusion.

The National Collegiate Athletic Association (NCAA) measures the Graduation Success Rate (GSR), which is the percentage of eligible athletes who graduate within six years of entering college. According to the NCAA, the GSR for all scholarship athletes in a particular division is 64%. The GSR for all students in this division is 61%. Suppose the NCAA report was based on a sample of 1,000 student-athletes, of which 640 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes in this division differs from 61%? Carry out the test using a Type I error rate of 0.05. What are the hypotheses for this test? O A. Ho: p# 0.61 Ha: p=0.61 OC. Ho: p > 0.61 H₁: p≤0.61 E. Ho: p=0.61 Ha: p Calculate the value of the z-statistic for this test. Z= (Round to two decimal places as needed.) What is the rejection region? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A.…

It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 340 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left- handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem. a) The symbol for the random variable involved in this problem is ? ✓ The wording for the random variable in context is as follows: Select an answer b) The symbol for the parameter involved in this problem is The wording for the parameter in context is as follows: Select an answer c) Fill in the correct null and alternative hypotheses: Ho?? ✓ HA: ? ✓ ? ✓ d) A Type I error in the…