Question

# Select the correct definition of a sampling distribution of a sample proportion. a. a probability distribution...

Select the correct definition of a sampling distribution of a sample proportion.

a. a probability distribution of the count of a certain characteristic of interest for all possible random samples of size ?ntaken from a population

b. a probability distribution of the sample proportions of a certain characteristic of interest for all possible random samples of size ?n taken from the population

c. a probability distribution of a population proportion of a certain characteristic of interest for all possible random samples of size ?n taken from a sample

d. a probability distribution of the sample means of a certain characteristic of interest for all possible random samples of varied sizes taken from the population

Ans::   Option (B)

Here the explanation:

The definiiton of sampling distribution of proportion goes like this:

Suppose that we draw all possible samples of size n from a given population. Suppose further that we compute a statistic (e.g., a mean, proportion, standard deviation) for each sample. The probability distribution of this statistic is called a sampling distribution.

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