A study was made to determine whether more Italians than Americans prefer white champagne to pink champagne at weddings. Of the 300 Italians selected at random, 72 preferred white champagne, and of the 400 Americans selected, 70 preferred white champagne. Can we conclude that a higher proportion of Italians than Americans prefer white champagne at weddings? Use a 0.05 level of signicance.

Binomial Distributions Binomial Rules In order for an experiment to be binomial, it must satisfy the following rules: 1 There are a fixed number of observations/trials, which is represented by n 2 The n observations are all independent of each other, i.e. one does not affect the other 3 Each observation falls into one of just two categories, either success or failure 4 The probability of a success, p, is the same for each observation Binomial Random variable, X: counts the number of successes in trials (n = number of trials) of a binomial experiment. (So X = number of successes) Properties of X: o X is a discrete random variable o The possible values of X are 0 - n o The binomial random variable X follows a binomial di