Part b show the change. change null hypotheseis x >14 to what is in red in Part b. find reject and excepted for x>15 and x<=15.recaluate alpha and beta alpha = P(reject HO|HO is true) = P(X< =14|theta=0.9) =beta P(accept HO|H1 is true) = P(X>14|theta =0.6) =HO: theta=0.9H1: theta-0.6X-Bin(n=20, theta)accept: X>14 => X-15,16,17,18,19,20reject: X<=14X=0,1,2,.14accept: X>15Ireject:X<=15alpha=beta- Suppose that the manufacturer a of a new medication wants to test the nullhypothesis 6 = 0.90 against the alternative hypothesis 0 = 0.60, His (test statistid isX, the observed number of successes (recoveries) in 20 tríals, and he will accept thenull hypothesis if x > 14; otherwise, he will reject it. Find a and ß.%3DSolution The acceptance region for the null hypothesis is x = 15, 16, 17, 18, 19, and20, and, correspondingly, therejection region (or critical region) is x = 0, 1, 2, ...,Therefore,14.a = P(X S14; 0 = 0.90) = 0.0114andB = P(X > 14; 0 = 0.60) = 0,1255%3D

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Answered: Part b show the change. change null…

Part b show the change. change null hypotheseis x >14 to what is in red in Part b. find reject and excepted for x>15 and x<=15. recaluate alpha and beta

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Part b show the change. change null hypotheseis x >14 to what is in red in Part b. find reject and excepted for x>15 and x<=15.

recaluate alpha and beta

alpha = P(reject HO|HO is true) = P(X< =14|theta=0.9) =
beta P(accept HO|H1 is true) = P(X>14|theta =0.6) =
HO: theta=0.9
H1: theta-0.6
X-Bin(n=20, theta)
accept: X>14 => X-15,16,17,18,19,20
reject: X<=14
X=0,1,2,.14
accept: X>15
I
reject:X<=15
alpha=
beta-

Suppose that the manufacturer a of a new medication wants to test the null
hypothesis 6 = 0.90 against the alternative hypothesis 0 = 0.60, His (test statistid is
X, the observed number of successes (recoveries) in 20 tríals, and he will accept the
null hypothesis if x > 14; otherwise, he will reject it. Find a and ß.
%3D
Solution The acceptance region for the null hypothesis is x = 15, 16, 17, 18, 19, and
20, and, correspondingly, therejection region (or critical region) is x = 0, 1, 2, ...,
Therefore,
14.
a = P(X S14; 0 = 0.90) = 0.0114
and
B = P(X > 14; 0 = 0.60) = 0,1255
%3D

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