The U. S. Department of Defense provides data on the distribution of military personnel on active duty by branch of service. Below is a table giving the percentage distribution for 1985.
Branch of Service
Percentage
36.3
Navy
26.5
Marine Corps
9.2
Air Force
Army
28.0
A random sample of 325 military personnel currently on active duty gave the following statistics.
Branch of Service
Frequency
Army
102
Navy
101
Marine Corps
40
Air Force
82
At the 5% significance level, do the data provide evidence that the current distribution personnel on active duty differs from the 1985
distribution?