Question

In: Statistics and Probability

12. A recent Gallop poll shows that Trump’s popularity as the presidential candidate is 41% based...

12. A recent Gallop poll shows that Trump’s popularity as the presidential candidate is 41% based on 1,080 people. Find a 90% confidence interval estimate for the true proportion.

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Expert Solution

Solution :

Given that,

n = 1080

Point estimate = sample proportion = = 41%=0.41

1 -   = 1-0.41 =0.59

At 90% confidence level

= 1 - 90%  

= 1 - 0.90 =0.10

/2 = 0.05

Z/2 = Z0.05 = 1.645 ( Using z table )

Margin of error = E Z/2 *(( * (1 - )) / n)

= 1.645 *((0.41*0.59) /1080 )

E = 0.025

A 90% confidence interval for population proportion p is ,

- E < p < + E

0.41-0.025 < p < 0.41+0.025

0.385< p < 0.435

orchestra answered 1 year ago
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