2. A given company has 1200 employees. Of these employees, 8…

2. A given company has 1200 employees. Of these employees, 800 have a computer science degree and 600 have a mathematics degree. If 1000 employees have either a computer science degree or a mathematics degree, what is the probability a randomly selected employee has both a computer science degree and a mathematics degree? Round your answer to three decimal digits if necessary.

10. A psychologist suspects that poll results on sensitive i…

10. A psychologist suspects that poll results on sensitive issues are being affected by the gender of the pollster. The table below summarizes the results of whether male respondents agreed with the pollster, based on the pollster’s gender. Perform a hypothesis test to evaluate the claim that agreement is dependent on the pollster’s gender, then interpret your results. Your answer should include a test statistic, p-value, and conclusion about dependence. Use​​Gender ofPollster​​​MaleFemale​​Men who agree560​308​​Men who disagree240​92​