A study published in the the journal Public Library of Science took 134 people, who were at risk of a stroke, and divided them randomly into three groups. Group one had 36 people and they participated in a stress management program. Group two had 40 people and they took part in an exercise program, and the remaining people were in group three. People in group three were just monitored by their doctor. After three years the number in each group who had a stroke or a related condition were recorded. The results are as follows: group one had 19 stroke/related conditions; group two had 17 stroke/related conditions; and group three had 29 stroke/related conditions. Let Pi be the population proportion of people at risk of a stroke participating in a stress management program having a stroke/related condition. Let p2 be the population proportion of people at risk of a stroke taking part in an exercise program having a stroke/related condition. Let P3 be the population proportion of people at risk of a stroke, who are just being monitored by a doctor having a stroke/related condition. Find the 95% confidence interval for §1 – Pzand give the lower bound. Give your answer to 3 decimal places.

The school district sets up two locations to help students with technical difficulties over the summer. They believe the technicians they have assigned to location 2 are being lazy and not helping students as much as they should be so they take a random sample of 15 students from each of the two locations and ask if their technical issue had been resolved (over 200 students had asked for assistance at each location). Twelve of the 15 students from location 1 reported their technical issue had been resolved and 8 of the 15 students from location 2 reported their technical issue had been resolved. Is this convincing evidence that the technicians from location 2 are being lazy and not helping students as much as those from location 1?

just the last part thank you!

55% of home owners who received Notice of Violations letters from their HOA experienced anxiousness, 76% of home owners who received such letters experienced outrage, only 2% experienced neither of the two aforementioned effects. What is the percentage of home owners who experienced both effects?