Question

Each person in a random sample of 2000 likely voters (as defined by a professional polling organization) was questioned about his or her political views. Of those surveyed, 1308 felt that the economy's state was the most urgent national concern. Reference: Ref 20-1

We would estimate ø, the proportion of likely voters that felt the economy's state was the most urgent national concern to be
a) 0.732.
b) 0.357.
c) 0.500.
d) 0.654.

Answer 1

The estimated proportion of likely voters who felt that the economy's state was the most urgent national concern is 0.654, calculated by dividing the number of voters concerned about the economy (1308) by the total number of surveyed voters (2000).

Step-by-step explanation:

To estimate φ, the proportion of likely voters that felt the economy's state was the most urgent national concern, we use the data provided from the random sample. In the sample of 2000 likely voters, 1308 felt that the economy was the most urgent concern. Therefore, we calculate the proportion (p) as follows:

p = number of voters concerned about the economy / total number of voters surveyed

p = 1308 / 2000 = 0.654

So the correct answer is option d) 0.654, which represents the proportion of the likely voters concerned about the economy according to the sample data.