00:01
For this problem, we are told that four years after the survey described in exercise 6 .26 in 2015, a different survey of 12 ,000 americans or american adults found that 29 % identified as democrat and 26 % identified as republican, with the rest identifying as independent or other.
00:25
We are asked to answer the same questions as before.
00:28
If we want 95 % confidence, i'll note that that means we want zd star equals 1 .96.
00:36
What is the margin of error in the estimate for the proportion of democrats, republicans, and do we feel comfortable concluding that in 2015, more american adults self -identified as democrats than self -identified as republicans, and to explain? so i'll note that we have that the margin of error is equal to zd -star.
00:56
Z star times the square root of p hat times one minus p hat divided by n.
01:05
So for the margin of error for democrats, substituting in all of our values using 0 .29 as p hat, we'll find that the margin of error is going to be 0 .008.
01:19
Then for republicans, we'll find that the margin of error will be equal to 0 .00...
01:28
Whoops, those looked like sixes...