Assume that a method of gender selection can affect the probability of a baby being a girl, so that the probability becomes 1/4. Each student should simulate 20 births by drawing 20 cards from a shuffled deck. (Which design better simulates reality: sampling the cards with replacement, or sampling the cards without replacement?) Consider the hearts to be girls and consider all other cards to be boys. After making 20 selections and recording the “genders” of the babies, construct a confidence interval estimate of the proportion of girls. Does the result appear to be effective in identifying the true value of the population proportion? (If decks of cards are not available, use some other way to simulate the births, such as using the random number generator on a calculator or using digits from phone numbers or Social Security numbers.)