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95% confidence level for Canadians proportion is [47.9%, 54.1%] and for Americans proportion is [41.9%, 48.3%].
What is a confidence interval?
In statistics, a confidence interval is a range to estimate for unknown terms. The most common level is the 95% confidence interval.
It can be calculated by
CI = Mean ± margin of error.
For Canadians
[tex]\rm \bar P[/tex] = 0.51
n = 1004
α = 1 - 0.95 = 0.05
α/2 = 0.025
z(0.025) = 1.96
Confidence interval for the proportion
P = [tex]\rm \bar P[/tex] ± [tex]z_{\alpha /2} \sqrt{\bar P(1-P} /n[/tex]
P = 0.51 ± 1.96[tex]\sqrt{0.51 \times 0.49/1004} \\[/tex]
P = [0.475, 0.541]
For americans
[tex]\rm \bar P[/tex] = 0.45
n = 1003
α = 1 - 0.95 = 0.05
α/2 = 0.025
z(0.025) = 1.96
Confidence interval for the proportion
P = [tex]\rm \bar P[/tex] ± [tex]z_{\alpha /2} \sqrt{\bar P(1-P} /n[/tex]
P = 0.45 ± 1.96[tex]\sqrt{0.45 \times 0.55/1003} \\[/tex]
P = [0.419, 0.483]
Hence, 95% confidence level for Canadians proportion is [47.9%, 54.1%] and for Americans proportion is [41.9%, 48.3%].
Learn more about confidence intervals;
https://brainly.com/question/24131141
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