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PRACTICAL EXERCISE E RELATIONSHIPS BETWEEN VARIABLES:CHI S

PRACTICAL EXERCISE E RELATIONSHIPS BETWEEN VARIABLES:CHI S

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section4.5: Analyzing Lines Of Fit
Problem 31E
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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.
Transcribed Image Text: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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