A2001 study asked 1,924 male and 3,666 female undergraduate college students their favorite color. a 95% confidence interval for the di↵erence between the proportions of males and females whose favorite color is black (pmalepfemale) was calculated to be (0.02, 0.06). based on this information, determine if the following statements are true or false, and explain your reasoning for each statement you identify as false.51. 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.