In a preliminary study, the U.S. Veterans Affairs Department found that 30.9% of the 81 soldiers who were near an accidental nerve gas release just after the 1991 Persian Gulf War had muscle and bone ailments, compared to a rate of 23.5% for the 52,000 Gulf veterans who were not near that area.
Use an appropriate one-tail test and the 0.10 level of significance in examining the difference between these two rates. Determine and interpret the p-value for the test.