i.i.d. Suppose X1, X2, ..., X100 versus H1 : p > 1/2. Let Y = E X;. Bin(1, p), with p unknown. You want to test Ho : p = 1/2 (a) Can you compute the Probability of Type I error for the following testing rule? • Reject Ho if Y > 55, • Do not reject Ho if Y < 54.

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i.i.d.
Suppose X1, X2, ..., X100
versus H1 : p > 1/2. Let Y = E X;.
Bin(1, p), with p unknown. You want to test Ho : p = 1/2
(a) Can you compute the Probability of Type I error for the following testing rule?
• Reject H, if Y > 55,
• Do not reject Ho if Y < 54.
Transcribed Image Text:i.i.d. Suppose X1, X2, ..., X100 versus H1 : p > 1/2. Let Y = E X;. Bin(1, p), with p unknown. You want to test Ho : p = 1/2 (a) Can you compute the Probability of Type I error for the following testing rule? • Reject H, if Y > 55, • Do not reject Ho if Y < 54.
(b) Can you compute the Probability of Type I error for the following testing rule?
Your testing rule is
• Reject Ho if Y > 50,
• Do not reject H, if Y < 49.
Transcribed Image Text:(b) Can you compute the Probability of Type I error for the following testing rule? Your testing rule is • Reject Ho if Y > 50, • Do not reject H, if Y < 49.
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