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AssignmentMultiple Choice

Simple Random Sample

Question 1 • VA-Probability and Statistics

Each member of the art club places their name in a hat. The hat is shaken and the club moderator pulls three names from the hat without looking to choose who gets the free tickets to a gallery. Which statement justifies that this scenario represents an SRS?

Answer
A
The group of students is chosen from the entire population and the club moderator would not show bias.
B
Each student has an equally likely chance of being chosen, and the names were shaken.
C
The group of students is chosen from the entire population, and each group has an equally likely chance of being chosen.
D
The club moderator pulls the names from the hat without looking.

Explanation

A simple random sample (SRS) requires that every possible group of the chosen size has an equal chance of being selected. The three names are drawn from the entire population of art club members, and drawing names randomly gives each group of three an equal chance. Therefore, choice C gives the justification.

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