A researcher wanted to know if college students felt like they slept less than young adults. 380 students were randomly sampled from a large university and 252 said they did not get enough sleep daily. 240 young adults were randomly sampled and 132 said they did not get enough sleep daily. Conduct a hypothesis test at a 10% significance level to check if the proportion of college students that believe they do not get enough sleep is more than the proportion of young adults. What is the p-value? Round to four decimal places.

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ab=9, and ac=12, find hc.

The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). the mean maximum oxygen uptake for elite athletes has been found to be 60 with a standard deviation of 7.2. assume that the distribution is approximately normal.

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers. a) one of the 400 passengers is selected uniformly at random. let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem