In: Statistics and Probability
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 360 residents of Orleans Parish who had participated in the cleaning of one or more homes, 67 had experienced symptoms of wheezing, and in a sample of 180 residents who had not participated in the cleaning, 40 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? 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 =α0.05 level of significance and the P-value method with the TI-84 Plus calculator.
1. State the null and alternate hypotheses.
2. Compute the P-value
3. determine whether it rejects.
4. Was there enough evidence?