Answer:
The 95% confidence interval would be given (0.307;0.373).
Explanation:
Data given and notation
n=800 represent the random sample taken
X=272 represent the teens who admit texting while driving
proportion estimated for teens who admit texting while driving
represent the significance level (no given, but is assumed)
Confidence =0.95 or 95%
p= population proportion of teens who admit texting while driving
The confidence interval for the population proportion would be given by this formula:
For the 95% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.307;0.373).
We are confident (95%) that about 30.7% to 37.3% of the teens are texting while driving