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Recently a study was conducted on the feasibility of adding a general engineering program to a...

Recently a study was conducted on the feasibility of adding a general engineering program to a university's specialized engineering programs. A preliminary study found that about half of the engineering students responded favorably to a general engineering program. Let Y represent the number of students in a sample of 10 who favor in a general engineering program and let p represent the true proportion of all students who favor a general engineering program. Suppose you want to test H(knot): p=0.5 against H(a): p not equal to 0.5. One possible procedure is to reject H(knot) if Y less or same than 1 or Y greater or same than 8. a) Find alpha for this test. b) Find Beta if p=0.4. What is the power of the test? c) Find Beta if p=0.8. What is the power of the test?

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