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Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients, In clinical trials, among 4301 patients treated with the drug, 140 developed the adverse reaction of nausea, Construct a 99% confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=D (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below O A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O B. One has 99% confidence that the sample proportion is equal to the population proportion. O C. 99% of sample proportions will fall between the lower bound and the upper bound. O D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients, In clinical trials, among 4301 patients treated with the drug, 140 developed the adverse reaction of nausea, Construct a 99% confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=D (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below O A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O B. One has 99% confidence that the sample proportion is equal to the population proportion. O C. 99% of sample proportions will fall between the lower bound and the upper bound. O D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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### Confidence Intervals for Proportions Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4301 patients treated with the drug, 140 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions. #### Steps: 1. **Find the best point estimate of the population proportion p.** - (Round to three decimal places as needed.) 2. **Identify the value of the margin of error E.** - E = - (Round to three decimal places as needed.) 3. **Construct the confidence interval.** - < \( p \) < - (Round to three decimal places as needed.) 4. **Write a statement that correctly interprets the confidence interval. Choose the correct answer below.** - A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. - B. One has 99% confidence that the sample proportion is equal to the population proportion. - C. 99% of sample proportions will fall between the lower bound and the upper bound. - D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. Click to select your answer(s). #### Note - Be sure to perform appropriate rounding where indicated (to three decimal places). - Ensure the accuracy of calculated values for meaningful interpretation of results. --- This content was designed to assist students in understanding the process of constructing and interpreting confidence intervals for proportions, a key concept in statistics and inferential analysis. The example used focuses on a clinical trial scenario, providing practical application of the statistical methods discussed.
Transcribed Image Text:### Confidence Intervals for Proportions Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4301 patients treated with the drug, 140 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions. #### Steps: 1. **Find the best point estimate of the population proportion p.** - (Round to three decimal places as needed.) 2. **Identify the value of the margin of error E.** - E = - (Round to three decimal places as needed.) 3. **Construct the confidence interval.** - < \( p \) < - (Round to three decimal places as needed.) 4. **Write a statement that correctly interprets the confidence interval. Choose the correct answer below.** - A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. - B. One has 99% confidence that the sample proportion is equal to the population proportion. - C. 99% of sample proportions will fall between the lower bound and the upper bound. - D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. Click to select your answer(s). #### Note - Be sure to perform appropriate rounding where indicated (to three decimal places). - Ensure the accuracy of calculated values for meaningful interpretation of results. --- This content was designed to assist students in understanding the process of constructing and interpreting confidence intervals for proportions, a key concept in statistics and inferential analysis. The example used focuses on a clinical trial scenario, providing practical application of the statistical methods discussed.
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