In the US, 77% of all teens have a TV in their bedrooms, while 59% of all teens in Spain have them. A simple random sample of 500 teens from the US and 300 from Spain are selected and all are asked whether they have a
TV in their bedrooms. Let 9, -be the difference in the sample proportions of teens with a TV in their bedrooms,
where
is the sample proportion of US teens with a TV in their bedrooms and is the sample proportion of
Spanish teens with a TV in their bedrooms.
What is the shape of the sampling distribution of the difference in the two sample proportions?
approximately uniform
approximately Normal
skewed to the right
skewed to the left