Now that we have the observed and expected frequencies, the other components for the test statistic can befound. The following table gives the given observed data and the calculated expected frequencies. The sum ofall the values in the final column will be the x test statistic.Complete the table, rounding values in the final column to four decimal places and x to three decimal places.SquaredDifferenceSquaredDifferenceDivided byExpectedFrequencyObservedExpectedFrequencyHoursDifferenceAgeGroupofFrequencyfijfj - eij(fij – e;)²Sleepeijeij6.1504Fewer39 or38 – 35.522.482 =-%3D3835.5235.520.1732than 6younger2.486.1504Fewer40 or3638.48-2.486.1504than 6older6 to39 or6056.1614.74560.26266.9younger6 to40 or5760.84-3.840.24246.9older7 to39 or76724.0016.00007.9younger7 to40 or7478-4.0016.00007.9older8 or39 or6676.32106.50241.3955moreyounger8 or40 or9382.6810.32106.5024moreolderx? = EEi(fj – ej)2eij3.949

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Description: Now that we have the observed and expected frequencies, the other components for the test statistic can befound. The following table gives the given observed data and the calculated expected frequencies. The sum ofall the values in the final column

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found. The following table gives the given observed data and the calculated expected frequencies. The sum of all the values in the final column will be the x test statistic. Complete the table, rounding values in the final column to four decimal places and x2 to three decimal places.

found. The following table gives the given observed data and the calculated expected frequencies. The sum of all the values in the final column will be the x test statistic. Complete the table, rounding values in the final column to four decimal places and x2 to three decimal places.

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Now that we have the observed and expected frequencies, the other components for the test statistic can be
found. The following table gives the given observed data and the calculated expected frequencies. The sum of
all the values in the final column will be the x test statistic.
Complete the table, rounding values in the final column to four decimal places and x to three decimal places.
Squared
Difference
Squared
Difference
Divided by
Expected
Frequency
Observed
Expected
Frequency
Hours
Difference
Age
Group
of
Frequency
fij
fj - eij
(fij – e;)²
Sleep
eij
eij
6.1504
Fewer
39 or
38 – 35.52
2.482 =
-
%3D
38
35.52
35.52
0.1732
than 6
younger
2.48
6.1504
Fewer
40 or
36
38.48
-2.48
6.1504
than 6
older
6 to
39 or
60
56.16
14.7456
0.2626
6.9
younger
6 to
40 or
57
60.84
-3.84
0.2424
6.9
older
7 to
39 or
76
72
4.00
16.0000
7.9
younger
7 to
40 or
74
78
-4.00
16.0000
7.9
older
8 or
39 or
66
76.32
106.5024
1.3955
more
younger
8 or
40 or
93
82.68
10.32
106.5024
more
older
x? = EE
i
(fj – ej)2
eij
3.949

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Given

Test -Chi-square test

Chi-square value = 3.949

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