Question

you have a hypothesis that people ages 4 to 35, teenagers will like a new drink called sugarhi better than any other age group. you want to survey 40 people for their opinions about the drink, but you are unsure how many people to survey from each age group. which of the answer choices below represents the most fair way to collect the data?
number of people surveyed in each age group
4-11 yr old ?
12-19 yr old ?
20-27 yr old ?
28-35 yr old ?
options:
a. 5, 30, 2, 3
b. 10, 15, 5, 10
c. 10, 5, 15, 10
d. 10, 10, 10, 10
8 of 10 answered
session timer: 4:27
session score: 100% (8/8)

Explanation:

To determine the most fair way to collect data (i.e., a representative sample), we need to check which option has an equal number of people surveyed in each age group (since we want to survey 40 people total and have 4 age groups).

Step 1: Calculate total for each option

• Option A: \( 5 + 30 + 2 + 3 = 40 \), but the numbers are not equal across groups.
• Option B: \( 10 + 15 + 5 + 10 = 40 \), numbers are not equal.
• Option C: \( 10 + 5 + 15 + 10 = 40 \), numbers are not equal.
• Option D: \( 10 + 10 + 10 + 10 = 40 \), each age group has 10 people, which is equal (representative sampling, as each group is equally represented).

Answer:

D. 10, 10, 10, 10