Suppose the Proportion of Women Who Follow a Regular Exercise $p _ { w }$

Suppose the proportion of women who follow a regular exercise program is $p _ { w }$ and the proportion of men who follow a regular exercise program is $p _ { m }$ . A study found a $98 \%$ confidence interval for $p _ { w } - p _ { m }$ is $( - 0.024,0.115 )$ . 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 $2.4 \%$ less and $11.5 \%$ more than the proportion of men who follow a regular exercise program.
B) We are $98 \%$ confident that the proportion of men who follow a regular exercise program is between $2.4 \%$ less and $11.5 \%$ more than the proportion of women who follow a regular exercise program.
C) We know that $98 \%$ of men exercise between $2.4 \%$ less and $11.5 \%$ more than women.
D) 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 $2.4 \%$ less and $11.5 \%$ more than the proportion of men who follow a regular exercise program.
E) We know that $98 \%$ of women exercise between $2.4 \%$ less and $11.5 \%$ more than men.