A sociologist believes that as the per capita personal incomes of states increase the birthrates decrease. She

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A sociologist believes that as the per capita personal incomes of states increase the birthrates decrease. She randomly selects eight states and the District of Columbia and obtains the following data:

Per Capita Personal Income ($) Birthrate State Delaware 39,817 14.1 Maryland 48,285 13.9 District of 66,000 15.1 Columbi

(a) Do the data support the sociologist's belief? Use the α = 0.05 level of significance.
(b) Draw a scatter diagram to support your conclusion.

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