Answer:
Option D is correct.
The sample proportion is a statistic that is unbiased, and its variability does not depend on the population size provided the population is at least 100 times larger than the sample.
Step-by-step explanation:
A population proportion is the fraction of the population that possesses a particular characteristic. It is a population parameter.
A population parameter describes a characteristic (usually a numerical characteristic) for the entire population.
while
The sample proportion represents a fraction of the sample that possesses a particular characteristic. It is a statistic
A statistic describes a characteristic (usually a numerical characteristic) for the sample.
In Statistics, the sample proportion is a statistic that is always assumed to be unbiased and the variability is given as
σₓ = (σ/√n) for sample sizes less than 100
where σₓ is the standard deviation of sample means or sample proportions.
σ is the standard deviation for the population.
n = sample size
From the formula, it is evident that at lower values of n (small sample sizes) the variation in the distribution of sample means is considerable, but at large values of n; for example, values of n greater than 100, σₓ begins to reduce to zero.
σₓ = (σ/√n) as n ---> large values,
σₓ ---> 0 and the variations in the distribution of sample means becomes non-existent.
So, the sample proportion is a statistic which is unbiased and its variability does not depend on the population size provided the population is at least 100 times larger than the sample
Hope this Helps!!!
