A nationwide study done recently showed that only 42% of college students average 7.5 hours of sleep or more. Recently a sleep-deprived group of UMW students decided to test whether the proportion of UMW students that averaged 7.5 hours of sleep was less than 42%. They obtained a random sample of 100 UMW students and found that 34 of them averaged less than 7.5 hours of sleep. Perform a hypothesis test showing all calculations and using 0.05 as the significance level