Alice is simulating a random sample on voter preferences and puts five red marbles, five green marbles, and five blue marbles in a bag. Not knowing what is in the bag, Bob draws three of them, pulling two green and one blue. What can Bob conclude?Color Red Green BlueIn Bag 5 5 5Drawn Out 0 2 1No voter in the population prefers the red candidate.The sample is representative of the population.Based on the sample, the green candidate is more likely to win.Bob's sampling technique must have been flawed since there are no red marbles in the sample.
Question
Alice is simulating a random sample on voter preferences and puts five red marbles, five green marbles, and five blue marbles in a bag. Not knowing what is in the bag, Bob draws three of them, pulling two green and one blue. What can Bob conclude?Color Red Green BlueIn Bag 5 5 5Drawn Out 0 2 1No voter in the population prefers the red candidate.The sample is representative of the population.Based on the sample, the green candidate is more likely to win.Bob's sampling technique must have been flawed since there are no red marbles in the sample.
Solution
Based on the sample, the green candidate is more likely to win. This conclusion is drawn from the fact that Bob drew two green marbles and only one blue marble, with no red marbles drawn. However, it's important to note that this is only a small sample and may not accurately represent the entire population. The absence of red marbles in the sample does not necessarily mean that no voter in the population prefers the red candidate. It could simply be a result of chance in this particular draw. Similarly, the sampling technique is not necessarily flawed due to the absence of red marbles in the sample. It's possible that a red marble could be drawn in a future sample.
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