1. Let X1, X2, . . ., X20 denote a random sample from px(1p)1-x, x=0,1; 0

1. Let Xl,X2,... and , denote a random sample from pX(1 X fx(x) o, otherwise 20 Suppose we want to test Ho : p = 0.7 vs HI : p < 0.7 and decision rule is to reject Ho if X < 11. a) Find a. (2 points) b) Draw the power curve for this test. (2 points) 2. In a sample of 170 students at a university that introduced the use of plagiarism-detection software in a number of courses, 73 students indicated a belief that such software unfairly targets students. Does this suggest that a minority of students at this university share this belief? (a = 0.05) (3 Points)