A survey conducted by Conquest Communications Group randomly sampled 700 registered voters in the U.S. 258 of the 700 sampled voters correctly answered that fourth graders in the U.S. are above average for overall education compared to other countries. Confidence 95%. 1. What sample size is required if a margin of error of 4% is desired using the confidence level chosen in #1 above?
Added by Patricia P.
Step 1
96 - Observed sample proportion: p̂ = 258/700 ≈ 0.369 - Desired margin of error (MOE): 0.04 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Anna D. and 80 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The results of a recent statewide test suggested that the proportion is 0.66. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.05? A sample of elementary school children is needed to obtain a 95% confidence interval with a margin of error of 0.05.
Anna D.
Reading proficiency: An educator wants to construct a 99% confidence interval for the proportion of elementary school children in Colorado who are proficient in reading. (a) The results of a recent statewide test suggested that the proportion is 0.77. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.04? A sample of elementary school children is needed to obtain a 99% confidence interval with a margin of error of 0.04.
Christopher D.
Reading proficiency: An educator wants to construct a 99.8% confidence interval for the proportion of elementary school children in Colorado who are proficient in reading. (a) The results of a recent statewide test suggested that the proportion is 0.6. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.04? A sample of ____ elementary school children is needed to obtain a 99.8% confidence interval with a margin of error of 0.04.
Jason G.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD