Are my answers correct? Thanks!

1.) Based on a survey of a few thousand people, a newspaper reporter wants to draw conclusions about how a country’s citizens in general feel about the war in Iraq. At this point, is the reporter mainly concerned with data production, displaying and summarizing data, probability, or performing statistical inference?

My answer: Performing statistical inference

2.) A New York Times reporter decides to convey information about American divorce rates by including a nap of the United States. Each state is shaded from light to dark depending on how high its divorce rate is. At this point, is the reporter mainly concerned with data production, displaying and summarizing data, probability, or performing statistical inference?

My answer: Displaying and summarizing date

3.) One-third of all nursing home patients with Alzheimer’s and other forms of dementia are given feeding tubes. Researches want to know how unlikely it would be to find more than half in a random samples of 100 such patients to have been given feeding tubes. Are the researches mainly concerned with data production, displaying and summarizing data, probability, or performing statistical inference?

My answer: Probability

1.) Based on the information provided, the reporter is mainly concerned with performing statistical inference. Statistical inference involves using sample data to draw conclusions or make predictions about a population or a larger group. In this case, the reporter wants to draw conclusions about how a country's citizens in general feel about the war in Iraq based on a survey of a few thousand people.

To arrive at this conclusion, the reporter likely collected and analyzed the survey data, performed statistical tests, and made inferences about the larger population.

2.) Based on the information provided, the reporter is mainly concerned with displaying and summarizing data. By including a map of the United States with shading based on divorce rates, the reporter is visually representing and summarizing the data on American divorce rates.

The main focus here is to convey information about divorce rates in a clear and visual manner, rather than performing statistical inference or dealing with probability.

3.) Based on the information provided, the researchers are mainly concerned with probability. They want to determine how unlikely it would be to find more than half of a random sample of 100 nursing home patients with Alzheimer's and other forms of dementia to have been given feeding tubes.

To assess this probability, they would need to calculate the probability of finding more than half with feeding tubes in a random sample, given that one-third of all nursing home patients with Alzheimer's and other forms of dementia are given feeding tubes. This involves statistical calculations and understanding probabilities.

1.) Based on the information provided, your answer is incorrect. The reporter in the first question is primarily concerned with performing statistical inference. Statistical inference involves making conclusions or inferences about a population based on a sample.

2.) Your answer for the second question is correct. The reporter, in this case, is mainly concerned with displaying and summarizing data by using a map to represent divorce rates across different states.

3.) Your answer for the third question is correct. The researchers are primarily concerned with probability. They want to determine the likelihood of finding more than half of the random sample of patients to have been given feeding tubes.