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.

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Author:Amos Gilat
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Problem 1: Global Warming
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.
Bootstrap Dotplot of Proportion -
80
60
40
20
0
0.55
Left Tail Two-Tail Right Tail
0.56
0.57
0.58
059
0.590
0.60
# samples - 3000
mean 0.590
st.dev. 0.010
0.61
0.62
Original Sample
Count n Proportion
1328 2251
0.590
Bootstrap Sample
Count n Proportion
1304 2251 0.579
Transcribed Image Text:Problem 1: Global Warming 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. Bootstrap Dotplot of Proportion - 80 60 40 20 0 0.55 Left Tail Two-Tail Right Tail 0.56 0.57 0.58 059 0.590 0.60 # samples - 3000 mean 0.590 st.dev. 0.010 0.61 0.62 Original Sample Count n Proportion 1328 2251 0.590 Bootstrap Sample Count n Proportion 1304 2251 0.579
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