The expression to find the 90% confidence interval is
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
What is confidence interval?
A confidence interval is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used.
CI z
0.70 1.04
0.75 1.15
0.80 1.28
0.85 1.44
0.90 1.645
0.92 1.75
0.95 1.96
0.96 2.05
0.98 2.33
0.99 2.58
According to the question
Data of people = 64
Data proportion (P) = 0.55
The 90% confidence interval
therefore, [tex]z_{c}[/tex] = 1.645
CI = P± [tex]z \sqrt{\frac{P ( 1-P}{N} }[/tex]
substituting the value
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
CI = 0.5563
Hence, expression to find the 90% confidence interval is
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
To know more about confidence interval here:
https://brainly.com/question/24131141
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