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In a survey of 2317 ​adults, 729 say they believe in UFOs. Construct a 99% confidence...

In a survey of 2317 ​adults, 729 say they believe in UFOs. Construct a 99%

confidence interval for the population proportion of adults who believe in UFOs.

Math   Statistics-And-Probability   
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Answer #1

Solution:

n = 2317

p = 729 / 2317 = 0.3146

z = 2.576

99% confidence interval = p z

= 0.3146 2.576

=  0.3146 0.0248

= ( 0.2829 , 0.3394 )

With 99% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval

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