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13. [1I5 Points] DETAILS PREVIOUS ANSWERS YMSSTATZ 12.E.032. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Different kinds of companies compensate their key employees in different ways. Established companies may pay higher salaries, while new companies may offer stock options that will be valuable if the company succeeds. Do hightech companies tend to offer stock options more often than other companies? One study looked at a random sample of 200 companies. Of these, 85 were listed in the Directory of Public High Technology Corporations and 115 were not listed. Treat these two groups as SRSs of high tech and nonhigh-tech companies. 71 of the high-tech companies and 68 of the non-hightech companies offered incentive stock options to key employees. (a) Is there evidence that a higher proportion of hightech companies offer stock options? (Use a: = .05.) z: P-value = Conclusion 5\" There is signicant evidence that a higher proportion of high-tech companies offer stock options. ff There is no evidence that a higher proportion of high-tech companies offer stock options. V (b) Give a 90% confidence interval for the size of the difference. lower bound upper bound