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Lecture 21

# AMS 310 Lecture 21: T-Stat, P-value, Rejection Region Premium

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School
Department
Applied Mathematics and Statistics
Course
AMS 310
Professor
Yan Yu
Semester
Spring

Description
Lecture 21 n be a random sample from a distribution w let X mean M and var vane Cy X unbiased esthmator N unbiased estimator of 2) Tests Hypotheses A stat hypothesis stotament about populativn parameter GAY The nullt alternatNe hypothesis The cure rare for a given disease using a stand d medication 357 The new drugs Cure rate is even betu. ls there substanhol evidence that the Hof patients cured Che New drug not good p Negation. Ho i Assertion H He true fewer than ol13 for nu Decision Ywle Hu s true more than Test decision rue that tells ejected of test v on: the valu ejection. unrno vn True ate N ture. 6) 2TMpes of Errors Test concluded Ho True al SR Santry TIpe 1 error roje hon ot Ho when Ho MS true Type error failure to reject Ho when HI true P20,36 n Assume the relechon re On is R IO Det mine the hype error that can occur calculate the erro probability when (a) 0,3, ps0.6 Rejection 0.3 HO is true 0,2) error pe p 210 0, bae) HIE true o, b) p (XCIO given ven p (type error n H Lecture 21 n be a random sample from a distribution w let X mean M and var vane Cy X unbiased esthmator N unbiased estimator of 2) Tests Hypotheses A stat hypothesis stotament about populativn parameter GAY The nullt alternatNe hypothesis The cure rare for a given disease using a stand d medication 357 The new drugs Cure rate is even betu. ls there substanhol evidence that the Hof patients cured Che New drug not good p Negation. Ho i Assertion H He true fewer than ol13 for nu Decision Ywle Hu s true more than Test decision rue that tells ejected of test v on: the valu ejection. unrno vn True ate N ture. 6) 2TMpes of Errors Test concluded Ho True al SR Santry TIpe 1 error roje hon ot Ho
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