An experiment of 36 tosses was conducted to test whether a coin is fair (p0 = 0.5) or not. A hypothesis test was made based on counting the number of heads X on these tosses, using a rejection region that of the form |X np0| 4. (a) Calculate the significance level (type I error) for this test. (b) If the coin has p = 0.7 of heads, calculate power 1 (1- type II error) of this test