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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 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?
Please explain how you determined shape - all calculations please
approximately uniform
approximately Normal
skewed to the right
skewed to the left

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  • 1. 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 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? Please explain how you determined shape - all calculations please approximately uniform approximately Normal skewed to the right skewed to the left