Consider the following question posed to Marilyn vos Savant in her weekly newspaper column, “Ask Marilyn”: I have two pairs of argyle socks, and they look nearly identical—one navy blue and the other black. [When doing the laundry] my wife matches the socks incorrectly much more often than she does correctly…. If all four socks are in front of her, it seems to me that her chances are 50% for a wrong match and 50% for a right match. What do you think?

Answer the following questions. 3. When given two separate events, how do we know whether to apply the Addition Principle or the Multiplication Principle when calculating possible outcomes? What conjunctions may help to determine which operations to use?

In 1995 a magazine reported the results of a poll of adult Americans in which it asked, "Have you ever driven a car when you probably had too much alcohol to drive safely?" The exact results were not given, but from the information given, we can guess at what they were. Of the 300 men who answered, 186 (62%) said yes and 108 (36%) said no. The remaining six men weren't sure. Of the 300 women, 90 (30%) said yes and 207 (69%) said no; the remaining three women weren't sure.   (a) Compute a 95% confidence interval for the difference in proportions of American men and women who would say yes to this question. (Use pmen − pwomen. Round your answers to three decimal places.) to

Answer only part (b) and (c)