Suppose the Proportion of Women Who Favor Stricter Gun Control $p _ { w }$

Suppose the proportion of women who favor stricter gun control legislation is $p _ { w }$ and the proportion of men who favor stricter gun control legislation is $p _ { m }$ . The survey found a $90 \%$ confidence interval for $p _ { w } - p _ { m }$ is $( - 0.08,0.24 )$ . Give an interpretation of this confidence interval.

A) We know that $90 \%$ of all random samples done on the population will show that the proportion of men who favor stricter gun control legislation is between $8 \%$ lower and $24 \%$ higher than the proportion of women who favor stricter gun control legislation.
B) We know that $90 \%$ of all random samples done on the population will show that the proportion of women who favor stricter gun control legislation is between $8 \%$ lower and $24 \%$ higher than the proportion of men who favor stricter gun control legislation.
C) We are $90 \%$ confident that the proportion of men who favor stricter gun control legislation is between $8 \%$ lower and $24 \%$ higher than the proportion of women who favor stricter gun control legislation.
D) We are $90 \%$ confident that women favor gun control legislation that is between $8 \%$ less strict and $24 \%$ more strict than legislation favored by men.
E) We are $90 \%$ confident that the proportion of women who favor stricter gun control legislation is between $8 \%$ lower and $24 \%$ higher than the proportion of men who favor stricter gun control legislation.