Arcoxurid the workd, favorable views of the U.S. rebourded in 2021, acoorcirig to ari article published...

 

 

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Arcoxurid the workd, favorable views of the U.S. rebourıded in 2021, acoorcirig to ari article published by the Pew Resesarh Center in June 2021. Between March 12 arnd May 26, 2021, Pew Resesarch contactecd a nationally representative sample of adults in 16 different countries around the world. One of the questions in the survey asked participants whether they have a favorable view of the U.S. Of the 1000 respondents who participated in the survey in Spain, 620 said that their view of the U.S. is favorable. (Values given in this problem are consistent with the results reported in the article.) Assume the respondents are a simple random semple of all adults in Spain. Round all calculated answers to 4 dacimal places uniess otherwise indicated. 1. Using the information given above, construct a 99% confidence interval for the true proportion of adults in Spain who have a favorable viow of the U.S. 2. Which of the following conditions must be met for the confidence Interval to be valid? Select all that apply. A The value forp must be lesa then 0.10 to provide evidence agalnst the null hypotheals. B. The sampie proportion must be normally distributed. C. There must be at least 10 'success' and 10 'failure' observations in the sample. D. The obeervalions must be indeperident of one another. 3. The information from the sample described above estinates the standard error to be SE; = 0.0153. Which of the statements below is a correct interprelation of this stancdard error? A. We have strong evicience that the Irue proportiorn of adults in Spain with a favorable view of the U.S. is contained in the confidence interval corstructed wilh this sample information. B. There is a 1.53% chance that the sample proportion is contalned within sny confidence Interval for the true proportion of adults in Spain with a favorable vilew of the U.S. C. The sample proportion is different from the true proportion of adults in Spain with a fevoreble view of the U.S. epproximately 1.53% of the time. D. On average, for repeated simple random samples of this size, we expoct the sample proportion to be approximately 0.0153 from the true population proportion of adults in Spain with a favorable view of the U.S. 4. Pew Research also surveyed a random sample of 1124 adults living in Singapore. Using the sample information reported in the article, we calculate a 95% confidence interval for the true proportion of adults in Singapore with a favorable view of the U.S. to be (0.481, 0.618). Which of the following statements are appropriate interpretations in this scenario? Select all that apply. A. If the researchers collected 100 samples of size n = 1124 from this population and constructed a 95% confidence interval for each of the 100 samples, they could expect approximately 95 of them to contain the true proportion of adults in Singapore with a favorable view of the U.S. B. We can be 95% confident that the true proportion of adults in Singapore with a favorable view of the U.S. is contained in the interval (0.481, 0.618). C. We can be 95% confident that, on average, the margin of error will vary no more than the size of the standard error. D. On average, 95% of the time we can expect any sample proportion from a sample of 1124 adults in Singapore with a favorable view of the U.S. to be in the interval (0.481, 0.618). 5. If, instead, we used the results for Singapore to calculate a 90% confidence interval for the true proportion of adults in Singapore with a favorable view of the U.S., this new interval would be ? the 95% confidence interval. 6. For this article, Pew Research surveyed adults in 16 different countries. Overall, 61% of survey respondents said their view of the U.S. was favorable. Thailand was not one of the these 16 countries. If a research group in Thailand wanted to construct a 99% confidence interval for the proportion of adults in that country who have a favorable view of the U.S. with a margin of error of no more than 4%, what size sample should they take? Use the overall value from the Pew Research survey as a planning value for p* , that is, p* = 0.61. Round your z* value to exactly 3 decimal places. Your answer should be an integer. n = Arcoxurid the workd, favorable views of the U.S. rebourıded in 2021, acoorcirig to ari article published by the Pew Resesarh Center in June 2021. Between March 12 arnd May 26, 2021, Pew Resesarch contactecd a nationally representative sample of adults in 16 different countries around the world. One of the questions in the survey asked participants whether they have a favorable view of the U.S. Of the 1000 respondents who participated in the survey in Spain, 620 said that their view of the U.S. is favorable. (Values given in this problem are consistent with the results reported in the article.) Assume the respondents are a simple random semple of all adults in Spain. Round all calculated answers to 4 dacimal places uniess otherwise indicated. 1. Using the information given above, construct a 99% confidence interval for the true proportion of adults in Spain who have a favorable viow of the U.S. 2. Which of the following conditions must be met for the confidence Interval to be valid? Select all that apply. A The value forp must be lesa then 0.10 to provide evidence agalnst the null hypotheals. B. The sampie proportion must be normally distributed. C. There must be at least 10 'success' and 10 'failure' observations in the sample. D. The obeervalions must be indeperident of one another. 3. The information from the sample described above estinates the standard error to be SE; = 0.0153. Which of the statements below is a correct interprelation of this stancdard error? A. We have strong evicience that the Irue proportiorn of adults in Spain with a favorable view of the U.S. is contained in the confidence interval corstructed wilh this sample information. B. There is a 1.53% chance that the sample proportion is contalned within sny confidence Interval for the true proportion of adults in Spain with a favorable vilew of the U.S. C. The sample proportion is different from the true proportion of adults in Spain with a fevoreble view of the U.S. epproximately 1.53% of the time. D. On average, for repeated simple random samples of this size, we expoct the sample proportion to be approximately 0.0153 from the true population proportion of adults in Spain with a favorable view of the U.S. 4. Pew Research also surveyed a random sample of 1124 adults living in Singapore. Using the sample information reported in the article, we calculate a 95% confidence interval for the true proportion of adults in Singapore with a favorable view of the U.S. to be (0.481, 0.618). Which of the following statements are appropriate interpretations in this scenario? Select all that apply. A. If the researchers collected 100 samples of size n = 1124 from this population and constructed a 95% confidence interval for each of the 100 samples, they could expect approximately 95 of them to contain the true proportion of adults in Singapore with a favorable view of the U.S. B. We can be 95% confident that the true proportion of adults in Singapore with a favorable view of the U.S. is contained in the interval (0.481, 0.618). C. We can be 95% confident that, on average, the margin of error will vary no more than the size of the standard error. D. On average, 95% of the time we can expect any sample proportion from a sample of 1124 adults in Singapore with a favorable view of the U.S. to be in the interval (0.481, 0.618). 5. If, instead, we used the results for Singapore to calculate a 90% confidence interval for the true proportion of adults in Singapore with a favorable view of the U.S., this new interval would be ? the 95% confidence interval. 6. For this article, Pew Research surveyed adults in 16 different countries. Overall, 61% of survey respondents said their view of the U.S. was favorable. Thailand was not one of the these 16 countries. If a research group in Thailand wanted to construct a 99% confidence interval for the proportion of adults in that country who have a favorable view of the U.S. with a margin of error of no more than 4%, what size sample should they take? Use the overall value from the Pew Research survey as a planning value for p* , that is, p* = 0.61. Round your z* value to exactly 3 decimal places. Your answer should be an integer. n =

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Answer1 99 confidence interval for the true porportion of adults in italy who have favourable view o... View the full answer