A study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. The study seeks to determine if the proportions of men and women who dislike anchovies are different. A sample of 41 men was taken and the LaTeX: \hat{p}p ^ estimate for the true proportion of men who dislike anchovies was determined to be 0.67. A sample of 56 women was also taken and the LaTeX: \hat{p}p ^ estimate for the true proportion of women who dislike anchovies was determined to be 0.84. Are the requirements satisfied to perform this hypothesis test? Why?