If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 10

Lesson 2: Confidence intervals for proportions
Math
AP®︎/College Statistics
Inference for categorical data: Proportions
Confidence intervals for proportions
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Sample size and margin of error in a z interval for p

AP.STATS: UNC‑4 (EU), UNC‑4.C (LO), UNC‑4.C.1 (EK), UNC‑4.C.2 (EK), UNC‑4.C.3 (EK), UNC‑4.C.4 (EK), UNC‑4.H (LO), UNC‑4.H.1 (EK), UNC‑4.H.2 (EK)
Google Classroom
You might need: Calculator

Problem

Jonah wants to make a one-sample z interval using 99, percent confidence to estimate what proportion of silicon wafers at his factory are defective. He wants the margin of error to be no more than 3, percent. A previous study suggests that about 6, percent of these wafers are defective.
If we assume p, with, hat, on top, equals, 0, point, 06, what is the smallest sample size required to obtain the desired margin of error?
Choose 1 answer:
Stuck?
Stuck?