P- Popor tion of the Initecl stetes segistered to vote : Adult P = 69/a = 69 z 0.6 9 lo0 Margin of Emu» [E ) = I 3')- ニナ3 = 土 0.03 Too %3D 95:1. Confi deuce In tesvel C-I= P I E %3D 0.69 I o. o 3 = (0.69-0-03, 0.69+o 03) = (0-66 , 0.72) %3D ニ We in ter pret it that the Adult females of Uni ted states thet regis tered to vote ar lies between the inter val o.66 to 0.72. (66. to 72'1.)· i.e.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Sample # 1 and has been provided in the second screenshot (hand written)
**Proportion of Adult Females in the United States Registered to Vote**

- **Sample Proportion (p̂):**
  - \( p̂ = 69\% = \frac{69}{100} = 0.69 \)

- **Margin of Error (E):**
  - \( \text{Margin of Error} [E] = \pm 3\% \)
  - \( E = \pm \frac{3}{100} = \pm 0.03 \)

- **95% Confidence Interval (CI):**
  - \( CI = p̂ \pm E \)
  - \( CI = 0.69 \pm 0.03 \)
  - \( CI = (0.69 - 0.03, 0.69 + 0.03) \)
  - \( CI = (0.66, 0.72) \)

Interpretation:
The confidence interval indicates that the proportion of adult females in the United States registered to vote lies between 0.66 and 0.72, which translates to 66% to 72%.
Transcribed Image Text:**Proportion of Adult Females in the United States Registered to Vote** - **Sample Proportion (p̂):** - \( p̂ = 69\% = \frac{69}{100} = 0.69 \) - **Margin of Error (E):** - \( \text{Margin of Error} [E] = \pm 3\% \) - \( E = \pm \frac{3}{100} = \pm 0.03 \) - **95% Confidence Interval (CI):** - \( CI = p̂ \pm E \) - \( CI = 0.69 \pm 0.03 \) - \( CI = (0.69 - 0.03, 0.69 + 0.03) \) - \( CI = (0.66, 0.72) \) Interpretation: The confidence interval indicates that the proportion of adult females in the United States registered to vote lies between 0.66 and 0.72, which translates to 66% to 72%.
**Question 2**: Based upon the results of the sample in #1, can you say with 95% confidence that your confidence interval contains the true percentage of all adult females registered to vote? Explain your answer.

*Explanation*: The question asks about the confidence level of a statistical sample. A 95% confidence level implies that if the same population is sampled multiple times, approximately 95% of the confidence intervals calculated from those samples will contain the true population parameter. The explanation should include an interpretation of the specific results from the sample referred to in #1 and how it relates to this statistical concept.
Transcribed Image Text:**Question 2**: Based upon the results of the sample in #1, can you say with 95% confidence that your confidence interval contains the true percentage of all adult females registered to vote? Explain your answer. *Explanation*: The question asks about the confidence level of a statistical sample. A 95% confidence level implies that if the same population is sampled multiple times, approximately 95% of the confidence intervals calculated from those samples will contain the true population parameter. The explanation should include an interpretation of the specific results from the sample referred to in #1 and how it relates to this statistical concept.
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