Elementary Statistics

EXCEL MINITAB TI-84 PLUS TECHNOLOGY Technology 343 Extended solutions are given in the technology manuals that accompany this text. Technical instruction is provided for Minitab, Excel, and the TI-84 Plus. 1. Use technology to find a 95% confidence interval for the population proportion of adults who (a) view foreign trade as an economic opportunity. (b)sympathize more with the Israelis than the Palestinians. (c) feel China’s economic power is a critical or an important threat to the United States. (d) are satisfied with the position of the United States in the world today. (e) do not sympathize with either the Israelis or the Palestinians more than the other. 2. Find the minimum sample size needed to estimate, with 95% confidence, the population proportion of adults who feel that China’s economic power is a critical or an important economic threat to the United States. Your estimate must be accurate within 2% of the population proportion. 3. Use technology to simulate a poll. Assume that the actual population proportion of adults who view foreign trade as more of an economic opportunity than a threat is 66%. Run the simulation several times using n = 1527. (a) What was the least value you obtained for np? (b) What was the greatest value you obtained for np? 4. Is it probable that the population proportion of adults who view foreign trade as more of an economic opportunity than a threat is 66%? Explain your reasoning. EXERCISES www.gallup.com THE GE ALLUPORGANIZATION United States Foreign Policy Polls Since 1935, the Gallup Organization has conducted public opinion polls in the United States and around the world. The table shows the results of Gallup’s World Affairs Poll of 2021, in which 1021 U.S. adults were polled. The remaining percentages not shown in the results are adults who were not sure. Question Results Do you view foreign trade as more of an economic opportunity or a threat? Opportunity: 63% Threat: 32% In the Israeli-Palestinian conflict, are your sympathies more with the Israelis or the Palestinians? Israelis: 58% Palestinians: 25% How much of a threat do you feel the economic power of China is to the United States? Critical or important: 93% Not important: 7% Are you satisfied with the position of the United States in the world today? Satisfied: 37% Dissatisfied: 62% EXCEL Random Number Generation Number of Variables: _ _ _ Parameters p Value = Number of trials = Number of Random Numbers: _ D_ istribution: _ OK Cancel Help 1 200 0.54 1537 Binomial

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