So, I'm working with taking n = 1 from the following pdf:

f(y)=1ey,y>0

for testing

H0:=1

H1:>1

The null hypothesis will be rejected if y3.20. I'm trying to calculat e the Type I error.

Based on the examples in the book that I have, I don't know how to approach this problem as the examples all had a pdf where y was between two values, inclusive. I'm including a problem that I felt was similar, but I can't quite make the jump to solve the problem above.

Help!!

Below is the similar example (I think):

Example 6.4.4 Suppose a random sample of seven observations is taken from the pdf fy(y;9) = w+1WW05y51Jomm Ho: 6 = 2 versus H119> 2 As a decision rule, the experimenter plans to record X, the number of y 's that exceed 0.9, and reject Ho if X 3 4. What proportion of the time would such a decision rule lead to a Type I error? To evaluate or = P(Reject H0 | H0 is true), we rst need to recognize that X is a binomial random variable where n = 7 and the parameter p is an area under fy(y;9 = 2): p = P(Y : 09 | H0 is true): P[Y 3 0.9 | fy(y;2) = 3y2] l = 3y2 dy = 0.271 It follows, then, that H0 will be incorrectly rejected 9.2% of the time: 7 a = P(X 3 4 | e = 2) = Z (Z) (O.271)k(0.729)7'k [(24 = 0.092