20. in a public opinion poll, 624 people from a sample of 1,100 indicated they would vote for a specific…

20. in a public opinion poll, 624 people from a sample of 1,100 indicated they would vote for a specific candidate. how many votes can the candidate expect to receive from a population of 40,000?

20. in a public opinion poll, 624 people from a sample of 1,100 indicated they would vote for a specific candidate. how many votes can the candidate expect to receive from a population of 40,000?

Answer

Explanation:

Step1: Calculate the proportion in the sample

The proportion of people who would vote for the candidate in the sample is $\frac{624}{1100}$.

Step2: Estimate the number of votes in the population

Multiply the proportion by the population size. Let $x$ be the expected number of votes in the population. Then $x=\frac{624}{1100}\times40000$. $x=\frac{624\times40000}{1100}=\frac{24960000}{1100}\approx22690.91\approx22691$.

Answer:

22691