At the 0.01 level of significance, does the data provide sufficient evidence to conclude that, at the time, a majority (more than 50%) of U.S. adults consider China the leading economic power in the world?
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In early November 2019, Gallup conducted a national poll of 1015 U.S. adults that asked which country is the leading economic power in the world. Of those sampled, 538 said China. At the 0.01 level of significance, does the data provide sufficient evidence to conclude that, at the time, a majority (more than 50%) of U.S. adults consider China the leading economic power in the world?
Solve using the p-value approach.
- Define the parameter we are testing and setup a hypothesis test to see if a majority of U.S. adults consider China the leading economic power in the world.
- Calculate the test statistics for this hypothesis test.
- What is the p-value for this hypothesis test?
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- In early November 2019, Gallup conducted a national poll of 1015 U.S. adults that asked which country is the leading economic power in the world. Of those sampled, 538 said China. At the 0.01 level of significance, does the data provide sufficient evidence to conclude that, at the time, a majority (more than 50%) of U.S. adults consider China the leading economic power in the world? Solve using the p-value approach. a. Define the parameter we are testing and setup a hypothesis test to see if a majority of U.S. adults consider China the leading economic power in the world. b. Calculate the test statistics for this hypothesis test. c. What is the p-value for this hypothesis test?The North American Free Trade Agreement (NAFTA) enacted in 1994 is a trilateral trade agreement signed by the United States, Canada and Mexico. This trade agreement has been controversial since its inception and Americans remain split on the issue. In a Gallup Poll conducted February 1-5, 2017, 418 out of 908 randomly selected Americans aged 18 or older stated that they believed that NAFTA was bad for the United States. Find the point estimate for the proportion of Americans who believe that NAFTA was bad for the United States. Round your answer to 4 decimal places. Find the margin of error for a 95% confidence interval. Round your answer to 4 decimal places. Construct the 95% confidence interval for the proportion of Americans who believe that NAFTA was bad for the United States. Enter your answer as an open interval of the form (a,b) and round to 3 decimal places.Though 70% of women with children younger than 18 years participate in the labor force, society still upholds the stay-at-home mother as the traditional model. Some believe that employment distracts mothers from their parenting role, affecting the well-being of children. In the GSS 2014, respondents were asked to indicate their level of agreement to the statement, “A working mother hurts children.” Of the 435 male respondents who answered the question, 18% strongly agreed that a working mother does not hurt children. What is the 90% confidence interval for this statistic for males?
- Though 70% of women with children younger than 18 years participate in the labor force, society still upholds the stay-at-home mother as the traditional model. Some believe that employment distracts mothers from their parenting role, affecting the well-being of children. In the GSS 2014, respondents were asked to indicate their level of agreement to the statement, “A working mother hurts children.” Of the 435 male respondents who answered the question, 18% strongly agreed that a working mother does not hurt children.Though 70% of women with children younger than 18 years participate in the labor force, society still upholds the stay-at-home mother as the traditional model. Some believe that employment distracts mothers from their parenting role, affecting the well-being of children. In the GSS 2014, respondents were asked to indicate their level of agreement to the statement, “A working mother hurts children.” Of the 435 male respondents who answered the question, 18% strongly agreed that a working mother does not hurt children. Of the 566 female respondents who answered the question, 40% strongly agreed that a working mother does not hurt children. What is the 90% confidence interval for this statistic?C4. Although 70% of women with children younger than 18 years participate in the labor force," society still upholds the stay-at-home mother as the traditional model. Some believe that employment distracts mothers from their parenting role, affecting the well-being of children. a. In the GSS 2018, respondents were asked to indicate their level of agreement to the statement, "A working mother hurts children." Of the 337 male respondents who answered the question, 21% strongly agreed that a working mother does not hurt children. Construct a 90% confidence interval for this statistic. b. Of the 441 female respondents who answered the question, 37% strongly agreed that a working mother does not hurt children. Construct a 90% confidence interval for this statistic. c. Why do you think there is a difference between men and women on this issue?
- In a poll conducted March 17-21, 2005, by the Pew Research Center for the People and the Press, a simple random sample of 1505 American adults were asked whether they were in favor of tighter enforcement of government rules on TV content during hours when children are most likely to be watching. Of the 1505 adults, 1129 responded yes. 1. What proportion of those surveyed were in favor of tighter enforcement of government rules on TV content during hours when children are most likely to be watching? 2. Obtain a 95% confidence interval for the proportion of Americans who are in favor of tighter enforcement of government rules on TV content during hours when children are most likely to be watching. (Round the final answer to four decimal places). P(1-p) CI = ptz 3. Interpret the confidence interval. 4. What proportion of those surveyed were in favor of tighter enforcement of government rules on TV content during hours when children are most likely to be watching when we apply the…The North American Free Trade Agreement (NAFTA) enacted in 1994 is a trilateral trade agreement signed by the United States, Canada and Mexico. This trade agreement has been controversial since its inception and Americans remain split on the issue. In a Gallup Poll conducted February 1-5, 2017, 472 out of 1025 randomly selected Americans aged 18 or older stated that they believed that NAFTA was bad for the United States. a. Find the point estimate for the proportion of Americans who believe that NAFTA was bad for the United States. Round your answer to 4 decimal places. b. Find the margin of error for a 95% confidence interval. Round your answer to 4 decimal places. c. Construct the 95% confidence interval for the proportion of Americans who believe that NAFTA was bad for the United States. Enter your answer as an open interval of the form (a,b) and round to 3 decimal places. d. Can you conclude that more than half of Americans believe that NAFTA was bad for the United States? O No,…Cybersecurity is a critical business issue that demands the attention of business and IT executives. According to a recent study, 67% of surveyed business and IT executives reported phishing scams at their institutions. Complete parts (a) and (b) below. a. If you conduct a follow-up study to estimate the population proportion of business and IT executives reporting phishing scams at their institutions, would you use a p of 0.67 or 0.50 in the sample size formula? OA. Use p=0.50 because this value will produce the greater sample size. ⒸB. Use p=0.67 because this value is an educated estimate of OC. Use p=0.50 because this value is an educated estimate of . OD. Use p=0.67 because this value will produce the greater sample size. b. Using your answer to (a), find the sample size necessary to estimate, with 90% confidence, the population proportion to within 10.04. The sample size needed is (Round up to the nearest integer.)
- The North American Free Trade Agreement (NAFTA) enacted in 1994 is a trilateral trade agreement signed by the United States, Canada and Mexico. This trade agreement has been controversial since its inception and Americans remain split on the issue. In a Gallup Poll conducted February 1-5, 2017, 448 out of 973 randomly selected Americans aged 18 or older stated that they believed that NAFTA was bad for the United States. a. Find the point estimate for the proportion of Americans who believe that NAFTA was bad for the United States. Round your answer to 4 decimal places. b. Find the margin of error for a 95% confidence interval. Round your answer to 4 decimal places. c. Construct the 95% confidence interval for the proportion of Americans who believe that NAFTA was bad for the United States. Enter your answer as an open interval of the form (a,b) and round to 3 decimal places. d. Can you conclude that more than half of Americans believe that NAFTA was bad for the United States? No, the…A Morning Consult/Politico poll of 1997 registered voters in July 2020 asked a standard polling question of whether the United States was headed in the "Right Direction" or was on the "Wrong Track." 74.9% said that things are on the wrong track vs. 25.1% who said "right direction." Complete parts a and b. a) Calculate the margin of error for the proportion of all U.S. adults who think things are on the wrong track for 99% confidence. (Round to three decimal places as needed.) ME= ew an example Get more help. The data are Simple Random Sample from the e tv = + I' M13A1 A C 10 √i 8074.heic Vi 1. (0,0) More Clear all Check answer 2022-0....10.45 AM 2022-0...09.49 AM 2022-0....07.20 AM MPEG47 Save DOCK JPEG X SCE 22- sign MMC4. Although 70% of women with children younger than 18 years participate in the labor force,+4 society still upholds the stay-at-home mother as the traditional model. Some believe that employment distracts mothers from their parenting role, affecting the well-being of children. a. In the GSS 2018, respondents were asked to indicate their level of agreement to the statement, "A working mother hurts children." Of the 337 male respondents who answered the question, 21% strongly agreed that a working mother does not hurt children. Construct a 90% confidence interval for this statistic. b. Of the 441 female respondents who answered the question, 37% strongly agreed that a working mother does not hurt children. Construct a 90% confidence interval for this statistic. c. Why do you think there is a difference between men and women on this issue?