During a period of 11 years 1848 of the people selected for grand jury duty were

Question

During a period of 11 years 1848 of the people selected for grand jury duty were sampled, and 25 % of them were immigrants. Use the sample data to construct a 99% confidence interval estimate of the proportion of grand jury members who were immigrants. Given that among the people eligible for jury duty, 27.4 % of them were immigrants, does it appear that the jury selection process was somehow biased against immigrants? nothing less thanpless thannothing (Round to three decimal places as needed.)

Explanation / Answer

Given,

p = 25% or 0.25

n = 1848

The statistical software output for 99% confidence interval is:

One sample proportion confidence interval:
p : Proportion of successes
Method: Standard-Wald

99% confidence interval results:

So,

99% confidence interval is:

(0.224, 0.276) or (22.4%, 27.6%)

Since 27.4% is within the limits of 99% confidence interval, we can't conclude that Jury selection was baised.

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