A scientist does a paired experiment and measures the corn yield for fertilizers A and B in the same farms. a. If the null hypothesis is true (there is no difference in yield for fertilizers A and B) what is the probability that exactly 55 out of 100 farms have a higher yield for fertilizer A than for fertilizer B? (Assume that none of the farms measured the same yield for the two fertilizers.) b. Is what you calculated in part (a) the p-value for the Sign test? Explain why or why not