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P - Propor tion of the Adult females of Unitecd stctes segistered to vote ĥ = 69/0 69 z 0.6 9 %3D Margi'n of E mos [E ) = I 3/. - 土 0.o3 lo0 ニ+3 A t 951. Confideuce In tesved *さE CIニ 0.69 t oo3 こ (0.69-0 03, o.69+0 03) = (0.66 , 0. 72) %3D ニ •66 We in ter pret it that tne Adult temales of United steutes thet regis tered to vote ar lies between the inter val o.66 to 0.72. i.e. '%.)· (66:1. to 72

P - Propor tion of the Adult females of Unitecd stctes segistered to vote ĥ = 69/0 69 z 0.6 9 %3D Margi'n of E mos [E ) = I 3/. - 土 0.o3 lo0 ニ+3 A t 951. Confideuce In tesved *さE CIニ 0.69 t oo3 こ (0.69-0 03, o.69+0 03) = (0.66 , 0. 72) %3D ニ •66 We in ter pret it that tne Adult temales of United steutes thet regis tered to vote ar lies between the inter val o.66 to 0.72. i.e. '%.)· (66:1. to 72

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The image presents a handwritten statistical explanation regarding the proportion of adult females in the United States registered to vote. 1. **Proportion Calculation:** - \( \hat{p} \) is defined as the proportion of adult females in the United States registered to vote. - The calculation is \( \hat{p} = \frac{69}{100} = 0.69 \). 2. **Margin of Error:** - The margin of error (\( E \)) is given as \( \pm 3\% \). - This is mathematically represented as \( \pm \frac{3}{100} = \pm 0.03 \). 3. **95% Confidence Interval:** - The confidence interval (CI) is calculated as \( \hat{p} \pm E \). - Substituting the values, the calculation becomes \( 0.69 \pm 0.03 \). - Thus, the confidence interval is \( (0.66, 0.72) \). 4. **Interpretation:** - It is interpreted that the proportion of adult females in the United States registered to vote is between 66% and 72%. This explanation helps to understand the statistical methods used to determine the confidence interval for the proportion of registered female voters.
Transcribed Image Text:The image presents a handwritten statistical explanation regarding the proportion of adult females in the United States registered to vote. 1. **Proportion Calculation:** - \( \hat{p} \) is defined as the proportion of adult females in the United States registered to vote. - The calculation is \( \hat{p} = \frac{69}{100} = 0.69 \). 2. **Margin of Error:** - The margin of error (\( E \)) is given as \( \pm 3\% \). - This is mathematically represented as \( \pm \frac{3}{100} = \pm 0.03 \). 3. **95% Confidence Interval:** - The confidence interval (CI) is calculated as \( \hat{p} \pm E \). - Substituting the values, the calculation becomes \( 0.69 \pm 0.03 \). - Thus, the confidence interval is \( (0.66, 0.72) \). 4. **Interpretation:** - It is interpreted that the proportion of adult females in the United States registered to vote is between 66% and 72%. This explanation helps to understand the statistical methods used to determine the confidence interval for the proportion of registered female voters.
**Question 3:** Based on the results in #1, can you say that 69% of all adult women in the U.S. are registered to vote? Explain your answer. (Note: Since the document relies on prior information, references to "results in #1" and other details are assumed to be contextually available on the educational website where this image is being used.)
Transcribed Image Text:**Question 3:** Based on the results in #1, can you say that 69% of all adult women in the U.S. are registered to vote? Explain your answer. (Note: Since the document relies on prior information, references to "results in #1" and other details are assumed to be contextually available on the educational website where this image is being used.)
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