Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. In a random sample of 192 college students, 129 had part-time jobs. Find the margin of error for the 95% confidence interval used to estimate the population proportion. 0.0664 0.00225 0.116 0.0598
Added by Daniel C.
Close
Step 1
The sample proportion is calculated by dividing the number of successes (in this case, the number of college students with part-time jobs) by the sample size. Sample proportion (p̂) = Number of successes / Sample size p̂ = 129 / 192 p̂ ≈ 0.6719 Show more…
Show all steps
Your feedback will help us improve your experience
Ajiboye Tunde and 71 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
0.064 Question 9 Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; n = 390, x = 59 Question 10 Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the proportion.
Jerelyn N.
A 99% confidence interval for the mean of the population is computed from a random sample and found to be 6 ± 3. What may we conclude from this estimate? All of these: If we took many additional random samples, and from each computed a 99% confidence interval for X, approximately 99% of these intervals would contain X. The true mean is between 3 and 9, with a 99% probability, and the true margin of error is 3.
Robin C.
Use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval. From a KRC Research poll in which respondents were asked if they felt vulnerable to identify theft: $n = 1002 , x = 531$ who said “yes.” Use a $95\%$ confidence level.
Estimates and Sample Sizes
Estimating a Population Proportion
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