Question

A survey is designed to investigate the extent to which businesses allow telecommuting for their employees. Random samples of both small and large businesses are taken. We'd like to use the data to compare the proportions of all small and large businesses who allow their employees to telecommute. Perform a test to see if there is a difference between the proportion of all small businesses that allow telecommuting and the proportion of all large businesses that allow telecommuting. (Use Minitab)

#allow (small)	n small	#allow (large)	n large
44	407	27	376

a) Test statistic: ___ (rounded to 2 decimals)

b) P-value: ___ (rounded to 3 decimals)

c) Construct a 99% confidence interval for the difference p_S - p_L. (rounded to 3 decimals)

Answer 1