Question

Data from the 2014 General Social Survey (GSS) show that out of n=1,606 adult respondents, the proportion who reported having voted for Barack Obama in the 2008 presidential election was 0.61. Questions 10-13 use this information.

Which of the following comes closest to the standard error for the proportion who voted for Barack Obama? (Calculate the standard error from the information provided above, and select the response below that comes closest to the answer you calculate.)

Group of answer choices

0.006

0.012

0.036

0.00015

Answer 1

Solution

Given that,

p = 0.61

1 - p = 1-0.61=0.39

n = 1606

= p =0.61

standard error = =  [p ( 1 - p ) / n] = [(0.61*0.39) / 1606 ] = 0.012

standard error = =  0.012