Question

A candy-making company asked a random sample of 200 out of 700 kindergarten students at Allwood School whether they preferred vanilla or chocolate flavored candies, and 25% of surveyed children chose vanilla. Based on this, which of the options will be true?

• A. The 200 kindergarten students surveyed represent 25% of all the kindergarten students at Allwood School.
• B. The 200 kindergarten students surveyed represent more than 50% of all the kindergarten students at Allwood School.
• C. The 200 kindergarten students surveyed represent all the kindergarten students at Allwood School.
• D. The population is the 200 kindergarten students surveyed at Allwood School.

Answer 1

The correct option is C The 200 kindergarten students surveyed represent all the kindergarten students at Allwood School.

Option A
The 200 kindergarten students at Allwood School surveyed is the sample of the population of 700 kindergarten students at Allwood School .
Option A is false.

Option B
The size of the population is not known. Thus, it cannot be stated that the sample is 25% of the total population.
Option B is false.

Option C
The size of the population is not known. Thus, it cannot be stated that the sample is more than 50% of the total population.
Option C is false.

Option D
The sample is representative of the population. Thus, it represents 100% of the population.
Thus, option D is true.