Which of the following statement is true?

A) The mean of all possible sample proportionsand the expected value of the sampling distribution ofare the same.
B) The standard deviation of the sampling distribution of the proportionis denoted by SE () .
C) The standard deviation of the sampling distribution of the proportionis denoted by() .
D) The mean of all possible sample proportionsand the expected value of the sampling distribution ofare the same and The standard deviation of the sampling distribution of the proportionis denoted by SE () .
E) The mean of all possible sample proportionsand the expected value of the sampling distribution ofare the same and The standard deviation of the sampling distribution of the proportionis denoted by() .

Question

Alexis Labrecque · Accepted Answer

Final Answer : D, Explanation :  Option A is true, as the mean of all possible sample proportions will be equal to the expected value of the sampling distribution of the proportion.Option B is false, as the standard deviation of the sampling distribution of the proportion is denoted by SE().Option C is false, as the standard deviation of the sampling distribution of the proportion is denoted by SE().Option D is true, as both the mean of all possible sample proportions and the expected value of the sampling distribution of the proportion are the same, and the standard deviation of the sampling distribution of the proportion is denoted by SE().Option E is false, as it repeats the same information as option D.

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