Question

A mayor of a large city wants to know how long it takes the police in his city to respond to a call for service. In a random sample of 15 citizens who called the police for service, the mayor's research

Answer 1

The question relates to Mathematics, focusing on data involving public opinion about a mayor and police response times. Various statistical measures including sample size, proportions, and probabilities are calculated from the provided data.

Step-by-step explanation:

The subject of this question is Mathematics, specifically statistics, as it deals with data analysis, sample size, proportions, and probabilities related to public opinion on the mayor's actions and about the police. The analyzes would be typically undertaken at the college level.

1. Sample Size: The sample size for the study is 1,046, based on the number of people polled.
2. Proportion Disapproving: To find the proportion that disapproved of the mayor in late 2011, subtract the approval percentage from 100. Thus, 100% - 42% = 58% disapproved.
3. Number Approving: To find how many people approved of the mayor in late 2011, multiply the approval percentage by the sample size. Hence, 42% of 1,046 people is approximately 439 people.
4. Probability of Support in Mid-2011: The probability that a person supported the mayor in mid-2011 is 0.57 or 57%.
5. Probability of Support in Early 2011: Similarly, the probability that a person supported the mayor in early 2011 is 0.60 or 60%.