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.) Your answer is correct. The reporter, in this case, is mainly concerned with performing statistical inference. Statistical inference involves drawing conclusions or making predictions about a population based on a sample of data.

2.) Your answer is incorrect. When the New York Times reporter decides to include a map of the United States shading each state based on its divorce rate, they are primarily concerned with displaying and summarizing data. They are visualizing and presenting the information in a way that is easily interpretable for the readers.

3.) Your answer is correct. The researchers, in this scenario, are mainly concerned with probability. They want to determine the likelihood of finding more than half of the random sample of 100 nursing home patients with feeding tubes, given the fact that one-third of all patients have feeding tubes. They are interested in assessing the probability of this event occurring by chance.