Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1115adults from Country A, 1021 adults from Country B,1038 adults from Country C, and 1067 adults from Country D. At α=0.04, can you reject the claim that the proportion of adults in Country C who favor building new nuclear power plants in their country is greater than the proportion of adults from Country D who favor building new nuclear power plants in their country? Assume the random samples are independent. Country A: 54%. Country B: 51%. Country C: 48%. Country D:37%. Part A: Choose the correct answer. A. H0:p1>p2 Ha:p1≤p2 B. H0:p1≤p2 Ha:p1>p2 C. H0:p1
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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Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1115adults from Country A, 1021 adults from Country B,1038 adults from Country C, and 1067 adults from Country D. At α=0.04, can you reject the claim that the proportion of adults in Country C who favor building new nuclear power plants in their country is greater than the proportion of adults from Country D who favor building new nuclear power plants in their country? Assume the random samples are independent. Country A: 54%. Country B: 51%. Country C: 48%. Country D:37%. Part A: Choose the correct answer. A. H0:p1>p2 Ha:p1≤p2 B. H0:p1≤p2 Ha:p1>p2 C. H0:p1<p2 Ha:p1≥p2 D. H0:p1=p2 Ha:p1≠p2 E. H0:p1≠p2 Ha:p1=p2 F. H0:p1≥p2 Ha:p1<p2
Find the standardized test statistic. Use technology to calculate the P-value. Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Can you support the original claim? Choose the correct answer below.
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