A politician who is running for the office of governor of a state with 7 million registered voter commissions a survey. In the survey, 55% of the 10,000 registered voters interviewed say they plan to vote for her. The population of interest is the:

3,850,000people

Step-by-step explanation:

Given

Total registered voters = 7million

If 55% of 10000 of the voters plans to vote for her, the number of people out of 10000 that plans to vote for her is expressed as:

55/100 × 10,000

= 55 × 100

= 5500

This shows that 5500 voters for every 10,000 plans to vote for her, if we have 7 million voters,

Hence x for every 7million plans to vote for her.

5500 = 10000

X = 7,000,000

Cross multiply

10,000x = 5,500 × 7,000,000

x = 5,500×700

x = 3,850,000

This shows that the population interest is 3,850,000people out of 7million