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CH 18 Q9: Please answer Parts A-D. Round as needed. A recent poll found that 75% of adult citizens of a country have a favorable
CH 18 Q9: Please answer Parts A-D. Round as needed.
A recent poll found that 75% of adult citizens of a country have a favorable View of the government. This is based on a random sample of 1008 adult citizens. Complete parts a through d below. a) Find a 90% condence interval for the proportion of citizens who have a favorable view of the government. ' V ( .U/o, %) (Type integers or decimals rounded to one decimal place as needed.) b) Interpret your interval in this context. Select the correct answer below and ll in the answer boxes to complete your choice. (Type integers or decimals rounded to one decimal place as needed.) A- There is a 90% chance, based on this sample, that between % and % of citizens have a favorable view of the government. 3- One is 90% condent, based on this sample, that between '% and '% of citizens have a favorable view of the government. C- One is 90% condent that, of the 1018 people surveyed, between % and % of citizens have a favorable view of the government. D - The chance that 90% of all citizens have a favorable view of the government is between % and %. c) Explain what "90% confidence" means. Choose the correct answer below. ( A. About 90% of all random samples of this size will produce intervals that contain the true proportion. O B. About 90% of all random samples will produce intervals that contain the true proportion. O C. If many random samples of citizens were taken, about 90% of the confidence intervals one constructs would contain the true sample proportion. ( D. There is a 90% chance that the true proportion of all citizens is contained within the bounds of the confidence interval. d) Do these data refute a pundit's claim that fewer than two-thirds of citizens have a favorable view of the government? Explain. L.A. Yes, every point contained in the confidence interval is a percentage greater than 66.7%. O B. Yes, 66.7% is not in the interval. O C. No, there is a 10% chance that less than 66.7% of citizens believe this statement. D. No, since there is only 90% confidence, the claim cannot be completely refutedStep by Step Solution
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