Q:

The student government at the local middle school surveyed students to help plan the end-of-year party. For the first sample, they surveyed every other person at sports practice after school. For the second sample, they surveyed every fifth person entering the cafeteria where all students eat. Which statement about the samples is true? End-of-Year Party Survey Sample 1 Sample 2 Water Park 21 Water Park 36 Bowling/Arcade 36 Bowling/Arcade 28 Zoo 16 Zoo 24 Dance & Dinner 27 Dance & Dinner 12 Sample 1 is biased. Sample 2 is biased. Both samples are biased. Neither sample is biased.

Accepted Solution

A:
Answer:Explained below.Step-by-step explanation:Convenience sampling is a kind of non-probability-sampling (i.e. all items doesn’t have an equivalent chance of being selected), which doesn’t comprises of random collection of items. Convenience sampling is where we take in items which are easy to reach.  This sort of sampling technique results in a biased sample.Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval. If the individual k is selected as the first sample then the sample space consists of every kth individual.In this case the first sample is an example of convenience sample and the second is a systematic sample.