Tiffany is the president for a residential community center located in her residential area. The community center is going to initiate a cleaning drive around their residential area. In order to distribute the cleaning duties, Tiffany needs to know the number of people in each household. She selects a random sample of 36 households in the area and records the percentage of people in each household:

Number of people 1 2 3 4 Ú5 Percent 3 13 30 35 19

a. Tiffany plans to distribute more duties to households that have more than three members. Based on the sample, identify the proportion of households having more than three people for Tiffany.

b. If the proportion of households having more than 3 people in the entire area is 60%, determine the probability that justifies Tiffany’s sampling as being sufficient.

c. Determine the probability in which the margin of error of Tiffany’s survey was 1% and the proportion of household having more than 3 people in the entire residential is 60%. This means that the sample proportion would be within 1 percentage point of the population proportion.