Consider the following null and alternative hypotheses: Ho: p = 0.79versusH11p #3 0.79. A random sample of 525 observations taken from this population produced a sample proportion of 0.82. a. If this test is made at a 10% signicance level, would you reject the null hypothesis? Use the critical-value approach. Round your answer for z to two decimal places. Zobsewed = I: zcritical left = : zcritical right = n: We :3 the null hypothesis. b. What is the probability of making a Type I error in part a? c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if a = 0.02? What if a = 0.04? Round your answer for the p-value to four decimal places