A study was made to determine whether more Italians than Americans prefer white champagne to pink champagne at weddings. Of the 250 Italians selected at random, 66 preferred white champagne, and of the 300 Americans selected, 50 preferred white champagne. Can we conclude that a higher proportion of Italians than Americans prefer white champagne at weddings? Use a 0.01 level of significance. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Let Italians correspond to population 1, let Americans correspond to population 2, and let a person who prefers white champagne to pink champagne at weddings be a success. Identify the null and alternative hypotheses. O A. Ho: P1 #P2 H4:P1 = P2 VB. Ho: P1 =P2 H4: P1 > P2 O C. Ho: P1 = P2 H1: P1 +P2 O E. Ho: P1 P2 H: P1 = P2 Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. z< O B. z< or z> OC. z>
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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