After a mayor announced his plans to cut budget costs in late 2011, the Forum Re

Question

After a mayor announced his plans to cut budget costs in late 2011, the Forum Research polled 1, 043 people to measure the mayor's popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced. In early 2011, 60 percent of the population approved of the mayor's actions ion office. In mid-2011, 48 percent of the population approved of his actions. In late 2011, the percentage of popular approval was measured at 35 percent. (a) What is the sample size for this study?(Enter your answer as a whole number.) (b) What proportion in the poll disapproved of the mayor, according to the results from late 2011? (Enter your answer to two decimal places.) (c) How many people polled responded that they approved of the mayor, in late 2011? (Round your answer up to next whole number.) (d) What is the probability that a person supported the mayor, based on the data collected in mid 2011? (Enter your answer to two decimal places.) (e) What is the probability that a person supported the mayor, based on the data collected in early 2011? (Enter your answer to two decimal places.)

Explanation / Answer

a) Sample size = 1043

b) Proportion in the poll that disapproved of the mayor according to late 2011

= 1 - 0.35

= 0.65

c) Number of people approved of the mayor according to late 2011

= 1043(0.35)

= 366

d) Required probability = 0.48

e) Required probability = 0.60

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