What percentage of Americans believe in global warming? A survey on 2,251 randomly selected individuals conducted in October 2010 found that 1,328 answered "Yes" to the question, "Is there solid evidence of global warming?" A bootstrap distribution for this data is shown. Give and interpret a 95% CI for the proportion of Americans who believe there is solid evidence of global warming using both the 95% rule and the percentile method.
What percentage of Americans believe in global warming? A survey on 2,251 randomly selected individuals conducted in October 2010 found that 1,328 answered "Yes" to the question, "Is there solid evidence of global warming?" A bootstrap distribution for this data is shown. Give and interpret a 95% CI for the proportion of Americans who believe there is solid evidence of global warming using both the 95% rule and the percentile method.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Transcribed Image Text:**Educational Content: Analyzing Public Belief in Global Warming**
**Problem 1: Global Warming**
What percentage of Americans believe in global warming? A survey conducted in October 2010 among 2,251 randomly selected individuals found that 1,328 answered "Yes" to the question, "Is there solid evidence of global warming?" A bootstrap distribution for this data is shown. Your task is to give and interpret a 95% confidence interval (CI) for the proportion of Americans who believe there is solid evidence of global warming, using both the 95% rule and the percentile method.
**Graph Explanation: Bootstrap Dotplot of Proportion**
- **Axes**: The x-axis displays the proportion values ranging from 0.55 to 0.62. The y-axis indicates the frequency of the bootstrap samples.
- **Distribution**: The graph shows a normal-like distribution of proportions centered around 0.590, the mean of the bootstrap distribution.
- **Statistics**:
- Number of samples: 3000
- Mean: 0.590
- Standard deviation: 0.010
**Table Details:**
- **Original Sample**:
- Count: 1,328
- Total (n): 2,251
- Proportion: 0.590
- **Bootstrap Sample**:
- Count: 1,304
- Total (n): 2,251
- Proportion: 0.579
Use this analysis to explore the confidence interval estimation using statistical methods such as the bootstrap approach, and interpret the results to understand public opinion on global warming better.
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