A random sample of148recent donations at a certain blood bank reveals that81were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01.

Calculate the test statistic and determine theP-value. (Round your test statistic to two decimal places and yourP-value to four decimal places.)

z=

P-value=