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A P4 PDCP a b B 323 d 324 325 32 326 327 328 329 330 331 d 332 333 33 What is the margin of error for this estimate? 334 a 0.032 335 b 0.038 0.044 0.052 с C 986 D E F G 336 с 337 d 338 339 34 What was the sample size used to obtain this estimate? 340 a 936 341 b 891 342 с 849 343 d 809 344 | H Suppose someone else reported a 95% interval estimate shown below: 0.580 0.644 What is the point estimate for this interval? 0.600 0.612 0.624 0.637 K

A P4 PDCP a b B 323 d 324 325 32 326 327 328 329 330 331 d 332 333 33 What is the margin of error for this estimate? 334 a 0.032 335 b 0.038 0.044 0.052 с C 986 D E F G 336 с 337 d 338 339 34 What was the sample size used to obtain this estimate? 340 a 936 341 b 891 342 с 849 343 d 809 344 | H Suppose someone else reported a 95% interval estimate shown below: 0.580 0.644 What is the point estimate for this interval? 0.600 0.612 0.624 0.637 K

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Confidence Interval and Sample Size Analysis** **95% Interval Estimate: 0.580 to 0.644** 1. **Point Estimate for the Interval:** - Options: - a. 0.600 - b. 0.612 - c. 0.624 - d. 0.637 2. **Margin of Error for the Estimate:** - Options: - a. 0.032 - b. 0.038 - c. 0.044 - d. 0.052 3. **Sample Size Used:** - Options: - a. 936 - b. 891 - c. 849 - d. 809 **Factors Influencing Confidence Intervals:** The key factors involved in building a confidence interval include: - Sample size (n) - Level of confidence - Margin of error **Which Statements are True?** - For a given confidence level, a sample 16 times as large will reduce the margin of error by half. - For a given confidence level, a sample 16 times as large will reduce the margin of error to one-fourth. - For a given confidence level, larger samples result in smaller margins of error. **Answer Options:** - a. Both a and b are true. - b. Both b and c are true.
Transcribed Image Text:**Confidence Interval and Sample Size Analysis** **95% Interval Estimate: 0.580 to 0.644** 1. **Point Estimate for the Interval:** - Options: - a. 0.600 - b. 0.612 - c. 0.624 - d. 0.637 2. **Margin of Error for the Estimate:** - Options: - a. 0.032 - b. 0.038 - c. 0.044 - d. 0.052 3. **Sample Size Used:** - Options: - a. 936 - b. 891 - c. 849 - d. 809 **Factors Influencing Confidence Intervals:** The key factors involved in building a confidence interval include: - Sample size (n) - Level of confidence - Margin of error **Which Statements are True?** - For a given confidence level, a sample 16 times as large will reduce the margin of error by half. - For a given confidence level, a sample 16 times as large will reduce the margin of error to one-fourth. - For a given confidence level, larger samples result in smaller margins of error. **Answer Options:** - a. Both a and b are true. - b. Both b and c are true.
### Confidence Interval Estimation **Questions 29-34 are related to the following scenario:** You want to build an interval estimate for the proportion of adult Hoosiers who favor legalizing marijuana in Indiana. You survey a random sample of adult Hoosiers. The result of the survey is shown in a worksheet with tab "WEED." ---- **29. What is the margin of error for an interval with a 90% level of confidence?** - a) 0.030 - b) 0.036 - c) 0.044 - d) 0.054 **30. The interval estimate with a 5% error probability is,** - a) 0.515 to 0.667 - b) 0.532 to 0.650 - c) 0.505 to 0.637 - d) 0.556 to 0.626 **31. If you wanted to build a 95% interval estimate with a margin of error of ±3 percentage points, how many persons would you have to include in your sample? Use 0.60 for the planning value.** - a) 1109 - b) 1066 - c) 1025 - d) 986 **32. Suppose someone also reported a 95% interval estimate shown below:** 0.580 to 0.644 What is the point estimate for this interval? - a) 0.612 - b) 0.580 - c) 0.624 - d) 0.637 --- **Explanation of Concepts:** - **Margin of Error:** The margin of error indicates the range within which the true population parameter is expected to fall. It is affected by the confidence level and the sample size. A 90% confidence level suggests that we can be 90% confident the actual proportion is within the calculated interval. - **Interval Estimate:** This provides a range that is likely to contain the population parameter. The specific range can vary depending on the desired confidence level and the sample data. - **Sample Size Calculation:** The sample size required for a specific margin of error can be determined using calculations that consider the proportion planning value, in this case, 0.60 for a 95% confidence level.
Transcribed Image Text:### Confidence Interval Estimation **Questions 29-34 are related to the following scenario:** You want to build an interval estimate for the proportion of adult Hoosiers who favor legalizing marijuana in Indiana. You survey a random sample of adult Hoosiers. The result of the survey is shown in a worksheet with tab "WEED." ---- **29. What is the margin of error for an interval with a 90% level of confidence?** - a) 0.030 - b) 0.036 - c) 0.044 - d) 0.054 **30. The interval estimate with a 5% error probability is,** - a) 0.515 to 0.667 - b) 0.532 to 0.650 - c) 0.505 to 0.637 - d) 0.556 to 0.626 **31. If you wanted to build a 95% interval estimate with a margin of error of ±3 percentage points, how many persons would you have to include in your sample? Use 0.60 for the planning value.** - a) 1109 - b) 1066 - c) 1025 - d) 986 **32. Suppose someone also reported a 95% interval estimate shown below:** 0.580 to 0.644 What is the point estimate for this interval? - a) 0.612 - b) 0.580 - c) 0.624 - d) 0.637 --- **Explanation of Concepts:** - **Margin of Error:** The margin of error indicates the range within which the true population parameter is expected to fall. It is affected by the confidence level and the sample size. A 90% confidence level suggests that we can be 90% confident the actual proportion is within the calculated interval. - **Interval Estimate:** This provides a range that is likely to contain the population parameter. The specific range can vary depending on the desired confidence level and the sample data. - **Sample Size Calculation:** The sample size required for a specific margin of error can be determined using calculations that consider the proportion planning value, in this case, 0.60 for a 95% confidence level.
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