Reference no: EM13910038

Statistical and Social Significance

A researcher wants to see if urban, suburban and rural communities differ in terms of the support for food banks. The researcher randomly chose 4000 food banks from around the country and interviewed the director of each. Food banks were classified by community (urban, suburban, rural) and how much support the director said they received from the community (high, medium and low). Here is the table (this data is fictitious).

	Urban	Suburban	Rural	Total
High Support	500	250	350	1100
	26.40%	27.80%	29.20%	27.50%
Medium Support	700	300	350	1350
	36.80%	33.30%	29.20%	33.80%
Low Support	700	350	500	1550
	36.80%	38.90%	41.60%	38.70%
	1900	900	1200	4000

	Expected Frequency	fo - fe	(fo - fe)2	(fo - fe)2/fe
Urban-high	(1100*1900)/4000	500 - 522.5 = -22.5	-2.252 = 506.25	506.25/522..97
Urban-medium	(1350*1900)/4000	700 - 641.25= 58.75	3451.6	3451.6/641..38
Urban-low
Suburban-high
Suburban-medium
Suburban-low
Rural-high
Rural-medium
Rural-low

Complete the table to calculate chi square.

Calculate the degrees of freedom for the table.

Can you reject the null hypothesis at the alpha = 0.05 level?

Write an paragraph in which you report your results regarding the hypothesis test. Include statements of the null and research hypothesis, the chi square value, degrees of freedom and your conclusions.

Write another paragraph in which you discuss and compare the social significance of the differences compared to the statistical significance.