1. Suppose that you are an amateur gardener with a fondness for tomatoes and statistics. For the past few years you have always used one particular brand of fertilizer, Brand A, on your tomato plants, but now you think a new more expensive fertilizer, Brand B, may increase the yield you get from your tomato plants. Therefore, you decide that this year you will fertilize half your tomato plants with Brand A and half with Brand B and compare the average yields for the two types of fertilizer.(a) What is your null hypothesis and your alternative hypothesis?(b) Give a consequence for both a Type I and a Type II error.(c) Explain whether you think the consequence of a Type I or a Type II error is more serious and why.