A Researcher Is Interested in Testing the Hypothesis That Income

question 30

Short Answer

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 $$\begin{array} { c c c } \text { Family } & \text { Per-family income } & \text { Number of children } \\\text { A } & \$ 190,000 & 2 \\\text { B } & \$ 30,000 & 6 \\\text { C } & \$ 19,000 & 7 \\\text { D } & \$ 40,000 & 3 \\\text { E } & \$ 23,000 & 6 \\\text { F } & \$ 40,000 & 4 \\\text { G } & \$ 25,000 & 5 \\\text { H } & \$ 40,000 & 3 \\\text { I } & \$ 28,000 & 1 \\\text { J } & \$ 30,000 & 5\end{array}$$ Since the income distribution was badly skewed, it was decided not to use the Pearson r.
-Should Ho be rejected or accepted? If Ho is rejected, state the level of significance.