Question

Please briefly discuss in your own words the key concepts in estimating a population proportion. A minimum of a paragraph

Answer 1

Estimating Population Proportions:
We use the sample proportion p(hat) as our estimate of the population proportion p.
We should report some kind of ‘confidence’ about our estimate.
Larger sample size coincides with better estimate

The margin of error (MOE) for the 95% CI for p is MOE=E≈2√{ p(hat)(1−p(hat)) /n}

95% Confidence Interval (CI) for a Population Proportion p: We can write this confidence interval more formally as p(hat)±E.

Interpretation of the 95% Confidence Interval (CI) : for a Population Proportion p We are 95% confident that this interval contains the true parameter value p.
Note that a 95% CI always contains p(hat). In fact, it’s right at the center of every 95% CI.

In order for a parameter's estimation to be justifiable, there are three conditions that need to be verified:

The data's individual observation have to be obtained from a simple random sample of the population of interest.

The data's individual observations have to display normality.

The data's individual observations have to be independent of each other.

The conditions for SRS, normality, and independence are sometimes referred to as the conditions for the inference tool box in most statistical textbooks.

Thank you. Please drop a like.