Please answer in r code
Exercise 1. A reporter for a national magazine was interested in residents' levels of worry about being the victim of crime in their neighborhood. They performed a telephone poll of 1500 adults who live in the United States- 140 from urban areas, 160 from suburban, and 200 from rural areas gave their opinions. The results of the survey are summarized in the table below.
A national politician references this telephone poll as evidence that Over half of United States residents are worried about being the victim of crime in their neighborhood
Urban Suburban Rural Worry about being victim 83 92 86 Do Not Worry about being victim 57 68 114 Total 140 160 200
a. Discuss how the sampling strategy impacts the population to which the inference should be made. Based on what we know about the sampling do we have a simple random sample of iid observations from all Americans? To what population could we more confidently make an inference?
b. Use a one-sample large sample Z test for Tw: the proportion of the population who are worried about being a victim to see if there is significant evidence at the = 0.05 level for the politician's claim (as it applies to the population you identified in (a)
c. Perform a hypothesis test at the 5% level of significance to determine if there is evidence of a difference in the proportion of urban and suburban residents who worry about being the victim of crime. (Be sure to state your hypotheses, assumptions, and show your test statistic and p value computations by hand.)
d. Create a 95% confidence interval for TR - TU, the difference in proportion of rural and urban residents who worry about being a victim of crime. (Be sure to show your computations. Interpret the confidence interval in the context of the question.
1
e. Suppose you look closer at the article and see that the reporter asked all adults within a household to respond to the question and recorded their responses. Does this concern you? If so, why? If not, why not?
