Find an example of a confidence interval for a proportion in the media or schola

Question

Find an example of a confidence interval for a proportion in the media or scholarly literature (do not use a statistics textbook or website/article that is teaching or demonstrating statistics to find the example).

At the very least it must include either the lower and upper bounds or a point estimate with a margin of error.

Make sure you have a Proportion confidence interval and not a CI for the mean, odds ratio, hazard ratio, or relative risk.

(a) Write the confidence interval in the form (lower bound, upper bound). If there are multiple confidence intervals, just pick one. (2 points)

(b) Include a digital photo/screenshot of the original appearance of the estimate or a link to the web where it can be found. (2 points)

(c) Explain what this confidence interval is trying to estimate. (2 points)

(d) Indicate who published the confidence interval and what their purpose was. (2 points)

(e) Provide any other pertinent information such as confidence level, sample size, sampling method, etc. (2 points)

(f) State what the sample and population were for the study. Infer this information if it is not provided (2 points)

(g) Comment on the transparency or trustworthiness of the figures used. (3 points)

Explanation / Answer

For example, suppose you carried out a survey with 200 respondents. If 45% of respondents answered the question of interest in a particular way and your desired confidence level was 95%, the corresponding confidence interval would be ± 6.9%. That is to say that you can be 95% certain that the true population proportion falls within the range of 38.1% to 51.9%.

A confidence interval for a populaton proportion is constructed by taking the point estimate (pˆp^) plus and minus the margin of error. The margin of error is computed by multiplying a z multiplier by the standard error, SE(pˆ)SE(p^).

Confidence Interval of pp

pˆ±z(p^(1p^)n)p^±z(p^(1p^)n)

zz is the multiplier

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