In 10-mph crash tests, 25 % of a certain type of automobilessustains no visible damage. A modified bumper design has beenproposed in an effort to increase this percentage. Let p denote theproportion of all cars with this new bumper that sustain no visibledamage in 10- mph crash tests. The hypotheses to be tested are H0 :p = 0.25 vs H0 : p >0.25. The test will based non an experimentinvolving n = 20 independent crashes of car prototypes with the newbumper design. Let X denote the number of crashes resultingin no visible damage, and consider the test procedure that rejectsthe null hypothesis if X >= 8.==> Use the binomial table to fidn the probability of type Ierror.