In: Statistics and Probability
An insurance company checks police records of 500 accidents and
finds that teenagers were at the wheels in 87 accidents.
Assume that the true population proportion of accidents with
teen-agers at the wheels is : p = 0.20.
Estimate the probability that the sample proportion of teen age
drivers in this population is no more than the observed proportion
of auto accidents that involve teenagers.
Use the simulated data on phat ( "phat.rda") from 5000 simulations
under the null hypothesis:
Answer to 4 decimal places
Observed | Hypothesized | |
0.174 | 0.2 | p (as decimal) |
87/500 | 100/500 | p (as fraction) |
87. | 100. | X |
500 | 500 | n |
0.0179 | std. error | |
-1.45 | z | |
.9269 | p-value (one-tailed, upper) |
The probability that the sample proportion of teen age drivers in this population is no more than the observed proportion of auto accidents that involve teenagers is 0.9269.