Contents
- 1 What conditions must be met to estimate the population proportion?
- 2 What is the point estimate for p the population proportion?
- 3 How do you find the best point estimate of the population proportion?
- 4 What do you need to know about statistical resampling?
- 5 How to calculate the proportion of a small population?
What conditions must be met to estimate the population proportion?
The conditions we need for inference on one proportion are: Random: The data needs to come from a random sample or randomized experiment. Normal: The sampling distribution of p^p, with, hat, on top needs to be approximately normal — needs at least 10 expected successes and 10 expected failures.
What is the point estimate for p the population proportion?
0.842
p′ = 0.842 is the sample proportion; this is the point estimate of the population proportion.
How do you find the best point estimate of the population proportion?
Formula Review. p′ = x / n where x represents the number of successes and n represents the sample size. The variable p′ is the sample proportion and serves as the point estimate for the true population proportion.
How is resampling used to estimate a population parameter?
One way to address this is by estimating the population parameter multiple times from our data sample. This is called resampling. Statistical resampling methods are procedures that describe how to economically use available data to estimate a population parameter.
How to calculate the proportion of a sample?
sample proportion = population proportion + random error. The Normal Approximation tells us that the distribution of these random errors over all possible samples follows the normal curve with a standard deviation of population proportion (1 − population proportion) n = p (1 − p) n
What do you need to know about statistical resampling?
Statistical resampling methods are procedures that describe how to economically use available data to estimate a population parameter. The result can be both a more accurate estimate of the parameter (such as taking the mean of the estimates) and a quantification of the uncertainty of the estimate (such as adding a confidence interval).
How to calculate the proportion of a small population?
We’ve done that a number of times now, so skipping all of the details here, we get that an approximate ( 1 − α) 100 % confidence interval for p of a small population is: By the way, it is worthwhile noting that if the sample n is much smaller than the population size N, that is, if n << N, then: