PRACTICAL EXERCISE 15EXAMINING THE RELATIONSHIPS BETWEEN VARIABLES:CHI SQUARED TEST (1)A study has been made of five different smallholder sites to find out the size of landholdings. The results of the study are as follows:Observed Frequencies of Village Smallholder PlotsVillage SitesABCDE2.There is an apparent difference between the size of village plots on the five sites.Find out if the difference is statistically significant using the chi-squared test and atwhat level it is significant. Show all your workings.1. State the problem negatively as a null hypothesisState the hypothesis.Set the rejection level of the null hypothesis.Calculate the expected values if the null hypothesis were correct.Calculate X².3.4.5.6.Area (km²)97123107.Total Number of Village Plots1625392017Work out the number of degrees of freedom ie the maximum number ofobservations that can vary without automatically determining the rest of theobservations.Use the probability table to determine the probability when you have X² with (n-1)degrees of freedom.

Answered: EXAMINING THE RELATIONSHIPS BETWEEN…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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PRACTICAL EXERCISE 15
EXAMINING THE RELATIONSHIPS BETWEEN VARIABLES:CHI SQUARED TEST (1)
A study has been made of five different smallholder sites to find out the size of land
holdings. The results of the study are as follows:
Observed Frequencies of Village Smallholder Plots
Village Sites
A
B
C
D
E
2.
There is an apparent difference between the size of village plots on the five sites.
Find out if the difference is statistically significant using the chi-squared test and at
what level it is significant. Show all your workings.
1. State the problem negatively as a null hypothesis
State the hypothesis.
Set the rejection level of the null hypothesis.
Calculate the expected values if the null hypothesis were correct.
Calculate X².
3.
4.
5.
6.
Area (km²)
9
7
12
3
10
7.
Total Number of Village Plots
16
25
39
20
17
Work out the number of degrees of freedom ie the maximum number of
observations that can vary without automatically determining the rest of the
observations.
Use the probability table to determine the probability when you have X² with (n-1)
degrees of freedom.

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For validating the claim that if the discrepancy between the theoretical frequencies (i.e., the expected frequencies of village plots) and the experimental frequencies (i.e., the observed frequencies of the village plots) is due to the random chance or due to ill-fit the observed data, the Chi-square (goodness of fit) is formulated. The given data is: