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From a random sample of workers at a large corporation you find that 58% of 200 went on a vacation last year away from home for at least a week. 15) An approximate 95% confidence interval is (0.50, 0.66). Which of the following statements is a correct interpretation? A) We are 95% condent that between 50% and 66% of the samples will have a proportion near 58%. B) We are 95% condent that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%. C) There is a 95% chance that a random selected coworker has gone on a vacation last year away from home for at least a week. D) 95% of the coworkers fall in the interval (0.50, 0.66). Solve the problem. 16) A researcher wants to know whether athletic men are more exible than non-athletic men. For this experiment, a man who exercised vigorously at least four times per week was considered "athletic." Flexibility is measured in inches on a sit d: reach box. Test the researcher's claim using the following summary statistics: [Hzm: Izm mm_ Assume that all conditions for testing have been met. Report the test statistic and pvalue. At the 5% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. Round all values to the nearest thousandth. A) t = -3.270; p = 0.002; Reject the null hypothesis; there is not strong evidence to suggest that athletic men are more exible than non-athletic men. B) t = -3.270; p = 0.002; Reject the null hypothesis; there is strong evidence to suggest that athletic men are more exible than non-athletic men. C) t = 3.270; p = 0.001; Fail to reject the null hypothesis; there is not strong evidence to suggest that athletic men are more exible than nonathletic men. D) t = 3.270; p = 0.001; Reject the null hypothesis; there is strong evidence to suggest that athletic men are more exible than nonathletic men. 15) _ 16)