The mean and standard deviation of the sampling distribution of the sample proportion are: (d) 0.55, 0.0497.
In Mathematics and Statistics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
The mean of the sampling distribution of the sample proportion is equal to 0.55. Mathematically, the standard deviation of the sampling distribution of the sample proportion can be calculated by using this formula:
σp = √(p(1 - p)/n)
Substituting the given parameters into the standard deviation formula, we have;
Standard deviation, σp = √(0.55(1 - 0.55)/100)
Standard deviation, σp = √(0.55(0.45)/100)
Standard deviation, σp = 0.002475
Standard deviation, σp = 0.0497
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Complete Question:
In a large population, 55% of the people get a physical examination at least once every two years. An SRS of 100 people are interviewed and the sample proportion is computed.
The mean and standard deviation of the sampling distribution of the sample proportion are:
(a) 55, 4.97.
(b) 0.55, 0.002.
(c) 55, 2.
(d) 0.55, 0.0497.
(e) The standard deviation cannot be determined from the given information.
