43. A fraternal organization admits 80% of all applicants who satisfy certain requirements. Of four members of a minority group who recently applied for admission, all met the re- quirements but none was accepted.

a) Find the probability that none would be accepted if the same admissions standards were applied to the minority group, other things being equal.

b) Find the P-value for testing that the probability of admission for a minonty group member equals .80. against the alternative that it is less than 80. and interpret