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A Researcher Is Interested in Testing the Hypothesis That Income

Question 104

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A researcher is interested in testing the hypothesis that income is negatively related to family size. A random sample of 10 families was selected from the population of a large mid-western city. All families were assessed on both their per-family income and their numbers of children  Family  Per-family income  Number of children  A $190,0002 B $30,0006 C $19,0007 D $40,0003 E $23,0006 F $40,0004 G $25,0005 H $40,0003 I $28,0001 J $30,0005\begin{array} { c c c } \text { Family } & \text { Per-family income } & \text { Number of children } \\\text { A } & \$ 190,000 & 2 \\\text { B } & \$ 30,000 & 6 \\\text { C } & \$ 19,000 & 7 \\\text { D } & \$ 40,000 & 3 \\\text { E } & \$ 23,000 & 6 \\\text { F } & \$ 40,000 & 4 \\\text { G } & \$ 25,000 & 5 \\\text { H } & \$ 40,000 & 3 \\\text { I } & \$ 28,000 & 1 \\\text { J } & \$ 30,000 & 5\end{array} Since the income distribution was badly skewed, it was decided not to use the Pearson r.
-Calculate the appropriate correlation

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