A survey of voter sentiment was conducted in four midcity political wards to compare the fraction of voters favoring candidate A. Random samples of 200 voters were polled in each of the four wards, with the results as shown in the accompanying table. The numbers of voters favoring A in the four samples can be regarded as four independent binomial random variables. Construct a likelihood ratio test to determine whether or not we should reject the null hypothesis that the fractions of voters favoring candidate A are the same in all four wards (i.e. Ho: p₁ = p2 = p3 = P4). Use a = 0.05. [Hint: to save you a trip to the appendix of the book, note that X(3),0.05 = 7.81, (i.e., for degrees of freedom v = 3, P(x²> 7.81) = 0.05).] Opinion Favor A Do not favor A Total 1 76 124 200 Ward 2 3 4 53 59 48 147 141 152 200 200 200 Total 236 564 800
A survey of voter sentiment was conducted in four midcity political wards to compare the fraction of voters favoring candidate A. Random samples of 200 voters were polled in each of the four wards, with the results as shown in the accompanying table. The numbers of voters favoring A in the four samples can be regarded as four independent binomial random variables. Construct a likelihood ratio test to determine whether or not we should reject the null hypothesis that the fractions of voters favoring candidate A are the same in all four wards (i.e. Ho: p₁ = p2 = p3 = P4). Use a = 0.05. [Hint: to save you a trip to the appendix of the book, note that X(3),0.05 = 7.81, (i.e., for degrees of freedom v = 3, P(x²> 7.81) = 0.05).] Opinion Favor A Do not favor A Total 1 76 124 200 Ward 2 3 4 53 59 48 147 141 152 200 200 200 Total 236 564 800
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A survey of voter sentiment was conducted in four midcity political wards to compare
the fraction of voters favoring candidate A. Random samples of 200 voters were
polled in each of the four wards, with the results as shown in the accompanying
table. The numbers of voters favoring A in the four samples can be regarded as
four independent binomial random variables. Construct a likelihood ratio test to
determine whether or not we should reject the null hypothesis that the fractions of
voters favoring candidate A are the same in all four wards (i.e. Ho: p1=p2 = P3 =
P4). Use a = 0.05. [Hint: to save you a trip to the appendix of the book, note that
X 3),0.05 = 7.81, (i.e., for degrees of freedom v = 3, P(x² > 7.81) = 0.05).]
Opinion
Favor A
Do not favor A
Total
1
76
124
200
Ward
2
53
147
200
3 4
59
141
200
48
152
200
Total
236
564
800](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe4b17d6-5522-43f3-9bec-415823969d6e%2F6d4d1cec-79be-48ac-8e9c-1adbfb55a192%2Ff456gfd_processed.png&w=3840&q=75)
Transcribed Image Text:A survey of voter sentiment was conducted in four midcity political wards to compare
the fraction of voters favoring candidate A. Random samples of 200 voters were
polled in each of the four wards, with the results as shown in the accompanying
table. The numbers of voters favoring A in the four samples can be regarded as
four independent binomial random variables. Construct a likelihood ratio test to
determine whether or not we should reject the null hypothesis that the fractions of
voters favoring candidate A are the same in all four wards (i.e. Ho: p1=p2 = P3 =
P4). Use a = 0.05. [Hint: to save you a trip to the appendix of the book, note that
X 3),0.05 = 7.81, (i.e., for degrees of freedom v = 3, P(x² > 7.81) = 0.05).]
Opinion
Favor A
Do not favor A
Total
1
76
124
200
Ward
2
53
147
200
3 4
59
141
200
48
152
200
Total
236
564
800
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