An experimenter has prepared a drug dosage level that sheclaimes will induce sle

Question

An experimenter has prepared a drug dosage level that sheclaimes will induce sleep for 80% of people suffering frominsomnia. after examining the dosage, we feel that her claimsregarding the effectiveness of the dosage are inflated. In anattempt to disprove her claim, we administer her dosageto 20insominics and we observe Y, the number for whom the drug doseinduces sleep. We wish to test the hypothesis
Ho: p= .8 versus the alternative, Ha : p< .8. Assume that therejuction region{y <12} is used. In terms of this problem, what is a type I error? An experimenter has prepared a drug dosage level that sheclaimes will induce sleep for 80% of people suffering frominsomnia. after examining the dosage, we feel that her claimsregarding the effectiveness of the dosage are inflated. In anattempt to disprove her claim, we administer her dosageto 20insominics and we observe Y, the number for whom the drug doseinduces sleep. We wish to test the hypothesis
Ho: p= .8 versus the alternative, Ha : p< .8. Assume that therejuction region{y <12} is used. In terms of this problem, what is a type I error?

Explanation / Answer

A Type I error is if the drug actually does induce sleep in 80% ofpeople, but we reject the null hypothesis anyway and conclude thatit does not.

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