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A sample of 100 components is drawn, and a 95% confidence
Chapter 5, Problem 14SE(choose chapter or problem)
A sample of 100 components is drawn, and a 95% confidence interval for the proportion defective specifies this proportion to within \(\pm\)0.06. To get a more precise estimate of the number defective, the sample size will be increased to 400, and the confidence interval will be recomputed. What will be the approximate width of the new confidence interval? Choose the best answer:
i. \(\pm\)0.015
ii. \(\pm\)0.03
iii. \(\pm\)0.06
iv. \(\pm\)0.12
v. \(\pm\)0.24
Equation transcription:
Text transcription:
\pm
Questions & Answers
QUESTION:
A sample of 100 components is drawn, and a 95% confidence interval for the proportion defective specifies this proportion to within \(\pm\)0.06. To get a more precise estimate of the number defective, the sample size will be increased to 400, and the confidence interval will be recomputed. What will be the approximate width of the new confidence interval? Choose the best answer:
i. \(\pm\)0.015
ii. \(\pm\)0.03
iii. \(\pm\)0.06
iv. \(\pm\)0.12
v. \(\pm\)0.24
Equation transcription:
Text transcription:
\pm
ANSWER:Answer:
Step 1 of 1:
In this question, we are asked to find the approximate width of the new confidence interval for increased sample size of 400.
Given a sample of 100 components, and a 95% confidence interval for the proportion defective specifies this proportion to within .
The options are i. , ii.
, iii.
, iv.
, v.
.
Let be a large sample of size
from a population with mean
and standard deviation