A media report claims that 50% of U. S. teens with smartphones feel addicted to
their devices. A skeptical researcher believes that this
figure is too high. She decides to test the claim by
taking a random sample of 100 U. S. teens who have
smartphones. Only 40 of the teens in the sample feel
ing evidence that the media report's 50% claim is too
addicted to their devices. Does this result give convinc-
high? To find out, we want to perform a simulation to
estinate the probability of getting 40 or fewer teens who
feel addicted to their devices in a random sample of size
100 from a very large population of teens with smart-
phones in which 50% feel addicted to their devices.
Let i = feels addicted and 2 = doesn't feel
addicted. Use a random number generator to produce
100 random integers from 1 to 2. Record the number
of I's in the simulated random sample. Repeat this
process many, many times. Find the percent of trials on
which the number of l's was 40 or less.