7. in 2019, the Centers for Disease Control and Prevention (CDC) was often ranked as the most favOrable government agency. Given the recent spotlight on the CDC from Gown-19, you might wonder if the CDC's favorability has dropped since 2019, when 80% of Americans viewed the agency favorably. Let's design a hypothesis test to determine whether the 0305 current favorability rating, denoted as p, has dropped from 80%. (a) (2 points) Write your null (H9) hypothesis in terms of p. H0 (in words) : H0 (in terms of p) z (b) (2 points) Write your alternative (H A) hypothesis in terms of p. H A (in words) : .__.- H4 (in terms ofp) : (c) (3 points) We assume the null hypothesis. Suppose we nd that in a random survey of 40 Americans, 27 approve of the CDC. Using this as our sample, label the sampling distribution below. Your annotation should include the center, the sample proportion, and the shaded region whose area is the Pvalue. Finally, box your Pvaiue! (d) (1 point) Based on the Pvalue you found in part (b) and a signicance level of a = 0.01, make a conclusion