A magician wants to know which of her magic tricks is the most popular. She emails a survey to people who previously attended one of her shows, asking them to rank their three favorite tricks. The magician determines that people favor her card trick. Select all the statements that are true about the sampling method.
Multiple select question.
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A)
This scenario is a voluntary response sample.
cross out

B)
The sampling method is unbiased.
cross out

C)
The inference is not valid.
cross out

D)
The inference is valid.
cross out

E)
The sampling method is biased.

the inference drawn from the survey can be considered valid based on the sample of people who attended the magician's shows, but the sampling method is biased because it may not capture the opinions of her entire audience.

Step-by-step explanation:

AI-generated answer

The statements that are true about the sampling method in this scenario are:

D) The inference is valid.

E) The sampling method is biased.

Explanation:

1. The inference is valid because the magician surveyed people who attended her shows and asked them to rank their three favorite tricks. Since the survey was sent to people with direct experience with her tricks, the responses can be used to make an inference about the popularity of her tricks among her audience.

2. The sampling method is biased because the magician only surveyed people who previously attended her shows. This could lead to biased results as the sample may not be representative of her entire audience. People who attended her shows may have a different perspective compared to those who have not seen her perform.

In conclusion, the inference drawn from the survey can be considered valid based on the sample of people who attended the magician's shows, but the sampling method is biased because it may not capture the opinions of her entire audience.