Question
In: Statistics and Probability
An economist wants to know if the proportion of the U.S. population who commutes to work...
An economist wants to know if the proportion of the U.S. population who commutes to work via carpooling is on the rise. What size sample should be obtained if the economist wants an estimate within 3 percentage points of the true proportion with 95% confidence, given she has a 2018 estimate of .10 from a previous survey? Group of answer choices 1,691 389 388 385
Solutions
Expert Solution
Solution :
Given that,
=
0.10
1 -
= 1 - 0.10= 0.90
margin of error = E = 3% = 0.03
At 95% confidence level the z is ,
= 1 - 95% = 1 - 0.95 = 0.05
/ 2 = 0.05 / 2 = 0.025
Z/2
= Z0.025 = 1.96 ( Using z table )
Sample size = n = (Z
/2
/ E)2 *
* (1 -
)
= (1.96 / 0.03)2 * 0.10 * 0.90
= 384.16
Sample size =385
orchestra answered 2 years agoRelated Solutions
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