IMathAS-libretexts

A project found recently that 74% of a random sample of 1164 teens said they regularly use instant messaging. Other studies have found an "instant messaging gap," with relatively few adults using it. The screen shot to the right shows how a calculator reports results of interval estimation at the 90% confidence level with the teen data. Explain how to interpret the confidence interval shown.

1-PropZInt

(0.72, 0.76)

\displaystyle \hat{{p}}=

0.74

n = 1164

What is the correct interpretation of the given confidence interval?

We can be 90% confident that the interval 0.72 to 0.76 contains the population proportion of teens who do not regularly use instant messaging.
We can be 90% confident that the interval 0.72 to 0.76 contains the population proportion of teens who regularly use instant messaging.
90% of all teens use instant messaging.
We can be 74% confident that the population proportion of teens who regularly use instant messaging is between 0.72 and 0.76.

License