A 2001 study asked 1,924 male and 3,666 female undergraduate college students their favorite color. A 95% confidence interval for the difference between the proportions of males and females whose favorite color is black (pmale − pfemale) was calculated to be (0.02, 0.06). Based on this information, determine if the following statements are true or false.

The 95% confidence interval for (pfemale − pmale) cannot be calculated with the given information.

Answer False or True
95% of random samples will produce 95% confidence intervals that include the true difference between the population proportions of males and females whose favorite color is black.

Answer False or True
We are 95% confident that the true proportion of males whose favorite color is black is 2% lower to 6% higher than the true proportion of females whose favorite color is black.

Answer False or True