Question

g A mid-sized tech company believes that 60% of its employees get no regular exercise, 25% exercise sporadically, while 15% engage in regular exercise. You suspect that this numbers may have changed due to a recent exercise campaign targeting the company employees. From a random sample of 470 employees, you find that 255 do not engage in regular exercise, 125 exercise sporadically, and 90 engage in regular exercise. Based on this data, is there enough evidence to suggest that the numbers have changed

Answer 1

Based on this sample data, there is enough evidence to suggest that the numbers have changed.

The number of those who do not do regular exercise has reduced from 60% to 54%. The number of those who do sporadic exercise has increased from 25% to 27%. The number of those who engage in regular exercise has increased from 15% to 19%.

So the numbers have changed much.

Explanation:

No Regular Sporadic Regular

Exercise Exercise Exercise Total

Estimated proportion 60% 25% 15% 100%

Random sample 255 125 90 470

Random proportion 54% (255/470) 27% (125/470) 19% (90/470) 100%