A candy company conducted a survey on a random sample of $200$ out of $700$ kindergarten students at Allwood School about their preferred candy flavor—vanilla and chocolate. $25 %$ of the surveyed children chose vanilla. Which of the following statements is true based on the given information?

The

200

kindergarten students surveyed represent

25 %

of all kindergarten students at Allwood School.

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The population is the

200

kindergarten students surveyed at Allwood School.

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The

200

kindergarten students surveyed represent more than

50 %

of all kindergarten students at Allwood School.

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The

200

kindergarten students surveyed represent all kindergarten students at Allwood School.

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Solution

The correct option is D The $200$ kindergarten students surveyed represent all kindergarten students at Allwood School.
Option A
The $200$ kindergarten students surveyed at Allwood School is the sample of the population of $700$ students.
Hence, 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.
Hence, 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.
Hence, 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.

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A candy company conducted a survey on a random sample of 200 out of 700 kindergarten students at Allwood School about their preferred candy flavor—vanilla and chocolate. 25% of the surveyed children chose vanilla. Which of the following statements is true based on the given information?

A candy company conducted a survey on a random sample of $200$ out of $700$ kindergarten students at Allwood School about their preferred candy flavor—vanilla and chocolate. $25 %$ of the surveyed children chose vanilla. Which of the following statements is true based on the given information?