Problem

True or False: The population proportion and sample proportion always have the same value.

Choose the correct answer below.
True
False

Answer

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Answer

Final Answer: \(\boxed{\text{False}}\)

Steps

Step 1 :The population proportion refers to the proportion of a certain characteristic in the entire population, while the sample proportion refers to the proportion of that characteristic in a sample taken from the population.

Step 2 :In theory, if the sample is a perfect representation of the population, the population proportion and sample proportion would be the same.

Step 3 :However, in practice, due to sampling error and variability, the population proportion and sample proportion may not always be the same.

Step 4 :Therefore, the statement is False.

Step 5 :Final Answer: \(\boxed{\text{False}}\)

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