Question

In a small town of 5,832 people, the mayor claims that there is a difference in the proportion of voters ages 18–30 who would support an increase in the food tax and the proportion of voters ages 31–40 who would support an increase in the food tax. an assistant to the mayor surveys 85 randomly chosen voters ages 18–30, and finds that 62 support the increase. a random sample of 70 voters ages 31–40 is also surveyed, and 56 support the increase.

Answer 1

The question is about analyzing statistical data regarding voter support for a mayor's actions. The sample size is 1,045, and the probabilities of approval are calculated for different time frames, with 42% supporting the mayor in late 2011, translating to approximately 439 people out of 1,045.

Step-by-step explanation:

The question provided pertains to statistical analysis within the realm of Mathematics, specifically examining the proportions and probabilities related to voter support for a mayor's actions and policy proposals.

a. The sample size for the study mentioned is 1,045.

b. The proportion of the poll that disapproved of the mayor, according to the results from late 2011, can be found by subtracting the approval percentage from 100%. Therefore, if 42% approved, then 58% disapproved.

c. The number of people polled who responded that they approved of the mayor in late 2011 is 42% of the 1,045 participants, which calculates to approximately 438.9 people.

d. The probability that a person supported the mayor, based on the data collected in mid-2011, is 0.57 or 57%.

e. The probability that a person supported the mayor, based on the data collected in early 2011, is 0.60 or 60%.