Question

Poverty In a study of how the burden of poverty varies among U. S. regions, a random sample of 1000 individuals from each region of the United States recently yielded the information on poverty (based on defining the poverty level as an income below $10,400 for a family of 4 people). The data are provided in the table to the right. (All the conditions are satisfied – don’t worry about checking them.) a. Write appropriate hypotheses. North west | Mid west | South | West | Total Poor | 112 (121) | 105 (121) | 154 (121) | 113 (121) | 484 Not Poor | 888 (879) | 895 (879) | 846 (879) | 887 (879) | 3516 Total | 1000 | 1000 | 1000 | 1000 | 4000 x² = 0.67 + 2.12 + 9.00 + 0.53 + 0.09 + 0.29 + 1.24 + 0.07 + = 14.01 P = 0.0029 b. How many degrees of freedom? _____ c. Suppose the expected values had not been given. Show exactly how to calculate the expected count in the first cell. d. State your complete conclusion in context.

          Poverty In a study of how the burden of poverty varies among U. S. regions, a random sample of 1000 individuals from each region of the United States recently yielded the information on poverty (based on defining the poverty level as an income below $10,400 for a family of 4 people). The data are provided in the table to the right. (All the conditions are satisfied – don’t worry about checking them.)
a. Write appropriate hypotheses.

North west | Mid west | South | West | Total
Poor | 112 (121) | 105 (121) | 154 (121) | 113 (121) | 484
Not Poor | 888 (879) | 895 (879) | 846 (879) | 887 (879) | 3516
Total | 1000 | 1000 | 1000 | 1000 | 4000

x² = 0.67 + 2.12 + 9.00 + 0.53 +
0.09 + 0.29 + 1.24 + 0.07 +
= 14.01
P = 0.0029

b. How many degrees of freedom? _____
c. Suppose the expected values had not been given. Show exactly how to calculate the expected count in the first cell.
d. State your complete conclusion in context.

Poverty In a study of how the burden of poverty varies among U. S. regions, a random sample of 1000 individuals from each region of the United States recently yielded the information on poverty (based on defining the poverty level as an income below 10,400 for a family of 4 people). The data are provided in the table to the right. (All the conditions are satisfied – don’t worry about checking them.)
a. Write appropriate hypotheses.

North west | Mid west | South | West | Total
Poor | 112 (121) | 105 (121) | 154 (121) | 113 (121) | 484
Not Poor | 888 (879) | 895 (879) | 846 (879) | 887 (879) | 3516
Total | 1000 | 1000 | 1000 | 1000 | 4000

x² = 0.67 + 2.12 + 9.00 + 0.53 +
0.09 + 0.29 + 1.24 + 0.07 +
= 14.01
P = 0.0029

b. How many degrees of freedom?
c. Suppose the expected values had not been given. Show exactly how to calculate the expected count in the first cell.
d. State your complete conclusion in context.

Added by Miguel T.

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