In Two Sample Proportions
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 ₁-₂ be the difference in the sample proportions of teens with a TV in their bedrooms, where P, is the
sample proportion of US teens with a TV in their bedrooms and ₂ is the sample proportion of Spanish teens with a
TV in their bedrooms.
What is the standard deviation of the sampling distribution of the difference in the two sample proportions? Enter your
answer as a decimal rounded to the thousandths place.
