Final answer:
If 160 people were surveyed, 64 people would be expected to choose chocolate as their favorite ice cream flavor, based on the proportion from the initial survey.
Step-by-step explanation:
The student asked about the expected number of people who would choose chocolate as their favorite ice cream flavor if 160 people were surveyed, given that 40 out of 100 people chose chocolate in a previous survey. This is a proportion problem where we need to apply the initial percentage of chocolate preferences to the new survey size.
To calculate this, you take the proportion of people who preferred chocolate in the initial survey (40%) and apply it to the new survey size. The calculation would be 40% of 160 people:
- First convert the percentage to a decimal: 40% = 0.4.
- Then multiply the decimal by the total number of people in the new survey: 0.4 × 160 = 64.
Therefore, if 160 people were surveyed, we could expect that 64 people would choose chocolate as their favorite ice cream flavor.