22. Perfect pitch A recent study of perfect pitch tested students in American music conservatories. It found that 7% of 1700 nonAsian and 32% of 1000 Asian students have perfect pitch. A test of the difference in proportions resulted in a P-value of <0.0001. a) What are the researchers' null and alternative hypotheses? b) State your conclusion. c) Explain in this context what the P-value means. d) The researchers claimed that the data prove that genetic differences between the two populations cause a difference in the frequency of occurrence of perfect pitch. Do you agree? Why or why not?.