Suppose the Proportion of Women Who Follow a Regular Exercise $\mathrm { P } _ { \mathrm { W } }$

Suppose the proportion of women who follow a regular exercise program is $\mathrm { P } _ { \mathrm { W } }$ and the proportion of men who follow a regular exercise program is $\mathrm { Pm }$ .A study found a 98% confidence interval for $p _ { w } - p _ { m }$ is ( $- 0.028,0.114 )$ . Give an interpretation of this confidence interval.

A) We are 98% confident that the proportion of women who follow a regular exercise program is between 2.8% less and 11.4% more than the proportion of men who follow a regular exercise program.
B) We know that 98% of women exercise between 2.8% less and 11.4% more than men.
C) We know that 98% of men exercise between 2.8% less and 11.4% more than women.
D) We are 98% confident that the proportion of men who follow a regular exercise program is between 2.8% less and 11.4% more than the proportion of women who follow a regular exercise program.
E) We know that 98% of all random samples done on the population will show that the proportion of women who follow a regular exercise program is between 2.8% less and 11.4% more than the proportion of men who follow a regular exercise program.