In a nursing home study, researchers found that 12 out of 34 randomly selected small nursing homes had a resident vaccination rate of less than 80%, while 17 out of 24 randomly selected large nursing homes had a vaccination rate of less than 80%. At

= 0.05, the researchers want to test the claim that there is no difference in the proportions of the small and large nursing homes with a resident vaccination rate of less than 80%. What are the the sample proportions for this situation, rounded to two decimal places? (Assume the sampling distribution of p1- p2is normal).