Question

Hurricane damage: In August and September 

2005

, Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed, and of those that survived, many required extensive cleaning. It was thought that cleaning flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. In a sample of 

365

 residents of Orleans Parish who had participated in the cleaning of one or more homes, 

77

 had experienced symptoms of wheezing, and in a sample of 

179

 residents who had not participated in the cleaning, 

23

 reported wheezing symptoms (numbers read from a graph). Can you conclude that the proportion of residents with wheezing symptoms is greater among those who participated in the cleaning of flood-damaged homes? Let 

p1

 denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes and 

p2

 denote the proportion of residents with wheezing symptoms who had not cleaned flood-damanged homes. Use the 

=α0.01

 level of significance and the 

P

-value method with the TI-84 Plus calculator.

Find the p-value

P

Round the answer to four decimal places.