Question

Suppose you try to conduct a presidential approval poll of 8,200 likely u.s. voters. you know that 34% of the voters are registered as republican. if you are going to construct a representative sample of this population, approximately how many of the likely voters in the sample should be republican? round your answer to the nearest whole number.

Answer 1

In a sample of 8,200 likely U.S. voters, with 34% registered Republicans, approximately 2,788 should be Republican to create a representative sample.

Step-by-step explanation:

If you are attempting to create a representative sample of likely U.S. voters for a presidential approval poll and you know that 34% of the voters are registered as Republican, you should aim to have the same proportion in your sample. To find out approximately how many of the likely voters in your sample should be Republican, you would multiply the total number of people in your sample by the percentage of Republicans:

Total sample size × Percentage of Republicans = Number of Republicans in the sample

8,200 × 0.34 = 2,788

Therefore, you would need approximately 2,788 Republican likely voters in your sample to reflect the population accurately.