Final answer:
The sample size for the study is 1,046 people. The proportion of people who disapproved of the mayor in late 2011 was 58%. The number of people who approved in late 2011 can be calculated as 42% of the sample size.
Step-by-step explanation:
The sample size for the study is 1,046 people, as stated in the reference. This is the number of individuals who were polled to measure the mayor's popularity.
To determine the proportion of people who disapproved of the mayor according to the late 2011 results, we subtract the percentage of people who approved from 100%. In this case, the proportion would be 100% - 42% = 58%.
To find the number of people who approved of the mayor in late 2011, we multiply the percentage of approval by the sample size. In this case, the number would be 42% of 1,046 people.
The probability that a person supported the mayor in mid-2011 can be found by dividing the percentage of support by 100%. In this case, the probability would be 57%/100% = 0.57.
The probability that a person supported the mayor in early 2011 can be found in a similar manner. The probability would be 60%/100% = 0.60.