10.155 According to “Venus vs. Mars” in the May/June 2005 issue of Arthritis Today, men and women may be more alike than we think. The Boomers Wellness Lifestyle Survey of men and women aged 35 to 65 found that 88% of women considered “managing stress” important for maintaining overall well-being. The same survey found that 75% of men consider “managing stress” important.

Answer the following and give details to support each of your answers.

a. If these statistics came from samples of 100 men and 100 women, is the difference significant?

b. If these statistics came from samples of 150 men and 150 women, is the difference significant?

c. If these statistics came from samples of 200 men and 200 women, is the difference significant?

d. What effects did the increase in sample size have on the solutions in parts a–c?