If you obtain 0 successes or n successes when using n trials to estimate a popul

Question

If you obtain 0 successes or n successes when using n trials to estimate a population proportion, our formula for a 95% confidence interval breaks down and has a width of 0. In these situations, the formulas in Module4Quiz_Blyth.xlsx enable us to compute 95% confidence intervals for a population proportion.

Suppose in 10,000 knee replacements at a hospital, none resulted in infections. You are 95% sure the real chance of an infection on a knee replacement falls within which interval?

1

possible answers:

[0, .0001]

[0, .0002]

[0, .0003]

[0, .0004]

Blyth Confidence Interval n 100 alpha 0.05 Successes Lower Upper 0 0 0.029513 0 =1-alpha^(1/n) 1 0.00025315 0.036217 =1-(1-0.5*alpha)^(1/n) =1-(0.5*alpha)^(1/n) 99 0.96378331 0.999747 =(0.5*alpha)^(1/n) =(1-0.5*alpha)^(1/n) 100 0.97048695 1 =(alpha)^(1/n)

1

Explanation / Answer

For the given problem n = 10000, alpha = 0.05 and hence using the formula we have the confidence interval as [0, 0.00029] which is closet to the interval [0,0.0003] from the list of choices.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.