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
ANSWER:
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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