Question 1 p-values and their limitations. Consider a "right-sided" hypothesis test with Ho :0 = 0 vs. H₁ : 0 > 0. Suppose the test statistic, W, is observed to take the value w. That is, if0 = 00, W has a known distribution (e.g. Normal, t, chi-square, F, etc.).(a) Consider two definitions of a “p-value": (1) The probability of getting data as extremeor more extreme than what you observed, under the null hypothesis. (2) The smallestlevel of significance a for which the observed data indicate that the null hypothesis shouldbe rejected. Explain how these definitions are equivalent and mean that the p-value iscalculated as P(W > w|0 = 0). (Hint: it may help to draw the null distribution, and itdoesn't matter too much what it looks like).To ake it simpler, this is only referring to a right-tailed test/p-value.Draw a density, mark the rejection region, mark where the test statisticwill fall, indicate the p-value. See 11/18 slides.

We are given a hypothesis H0:θ=θ0 vs. Ha:θ>θ0 which is a right tailed hypothesis. Under this…

Answered: Question 1 p-values and their…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Your income () per month is a Gaussian random variable with mean 3140 NIS and standard deviation 290 NIS. Your monthly expenditure (gyas) also follows the Gaussian distribution with mean 2530 NIS and standard deviation 260 NIS. TABLE of CRITICAL VALUES for STUDENT'S E DISTRIBUTIONS Clure heedr terte peta te hined Frububiies lor the standard porgal datribution Chi-Square Distribution Table 8.002 Ta ny ide pbebiy bing ode le Te dtl A a ES S SI ESEN ESEN E a a eS8 S S . S S AS AS aSI TRIE LL a3 a aan eass aen e Ba E A 7 04 0004 00 0M 4 Be Ber ser s A 100 1440 aan as a a ama an TR S4 7 n as a 7D EN N ENN RN ANI NI n axI exS EK BKTa BEM B EIS La a asN GI MB BO BES LESSA ARST MI LI 04 0t B E LE AT A 12 a ae n E L A S 3 a2 a0 a ae e aIS B3 Ie a LA 0I r 2 BE BON EN am 17 6. T 1244 IA g owe M a 19 aTs a19 aas a R RsI ST am 21 14 144 12.7 44 11 21 21 0 22 a as 23 a ao c 24 a O a B N 2 4 23 a o a d E w w IL 12 26 0 eos 14 M eM 27 a om 28 aw own ow Bwn swn wa wN AWN AW A 29 a BM BM s s awas wm awr…
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