On June 17, 2015, nine black Americans were killed in a Charleston, South Caroli
ID: 3066051 • Letter: O
Question
On June 17, 2015, nine black Americans were killed in a Charleston, South Carolina church, allegedly by a lone white gunman who claimed he was attempting to incite a race war in America. On July 10, the Confederate flag was taken down from the grounds of the South Carolina state capitol partly in response to the killings. Four days later, The New York Times and CBS News conducted a poll on a random sample of 1,205 adults nationwide to see if they approved of this action. The poll found that 55% of respondents approved of the removal of the Confederate flag. The poll reported a margin of error of ±3 percentage points for 95% confidence in its conclusions.
1. Which of the following statements is the correct confidence statement, in relation to the scenario
a.
We are 95% confident that between 52% and 58% of all US adults would say that they approved of the removal of the Confederate flag.
b.
we are sure that between 52% and 58% of all US adults would say that they approved of the removal of the Confederate flag.
We are 95% confident that 55% of all US adults would say that they approved of the removal of the Confederate flag.
2.
Which of the following statements correctly explains why we can’t just say that 55% of all US adults would say that they approved of the removal of the Confederate flag?
The 55% of US adults who said they approved of the removal of the Confederate flag represents the proportion of the sample and not the proportion of the population.
The result that 55% of US adults said that they approved of the removal of the Confederate flag is based on a small sample size.
The result that 55% of US adults said that they approved of the removal of the Confederate flag is based on a sample that does not contain an equal proportion of the population from each state.
a.
We are 95% confident that between 52% and 58% of all US adults would say that they approved of the removal of the Confederate flag.
b.
we are sure that between 52% and 58% of all US adults would say that they approved of the removal of the Confederate flag.
c.We are 95% confident that 55% of all US adults would say that they approved of the removal of the Confederate flag.
Explanation / Answer
Please kindly note that your answer for 1 St question is correct, that is A is the correct answer for 1 question.
For the 2nd question please note that the sample size given is n=1205 which is not small.
Here we have given the 55% proportion based on sample and not on population. So for 2nd question also A is the correct answer.
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