In August and September2005

,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 of355

residents of Orleans Parish who had participated in the cleaning of one or more homes,62

had experienced symptoms of wheezing, and in a sample of175

residents who had not participated in the cleaning,42 reported wheezing symptoms (numbers read from a graph). Can you conclude that there is a difference between the proportion of residents with wheezing symptoms who cleaned flood-damaged homes and those who did not participate in the cleaning? Letp1denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes andp2 denote the proportion of residents with wheezing symptoms who had not cleaned flood-damaged homes. Use the= 0.05level of significance and theP-value method with the TI-84 Plus calculator.

Find theP-value. Round the answer to four decimal places.

State the null and alternate hypotheses