A traffic safety expert claimed that for car vs. bicycle accidents in which the bicyclist was injured, 40% of the injuries were head injuries, 40% were arm and/or leg injuries, and 20% were other injuries. A random sample of 150 injured bicyclists showed 70 had head injuries, 60 had arm or leg injuries, and 20 had other injuries.

Perform a hypothesis test at 95% confidence to determine whether the safety expert's claim could be true.

To get full credit state your null and alternate hypothesis,

show how you calculated your test statistic,

show your p-value,

and state your conclusion: could the safety expert's claim be true? YES or NO