A sample of 20 children was asked to draw a nickel. The diameter of each nickel was recorded as well as each child's family income. Incomes (in thousands of $) and nickel diameters are shown for each of the 20 samples below: Income (thousands of $) Coin size (mm) 14 17 38 28 29 22 24 25 15 12 36 29 17 29 8 21 8 24 38 32 76 26 92 15 71 27 43 26 41 25 42 23 93 21 73 25 99 27 75 20 Test the claim that there is significant correlation at the 0.05 significance level. a) If we use L to denote the low income group and H to denote the high income group, identify the correct alternative hypothesis. OH: PL PH OHr 0 OHp0 OHp=0 b) The r correlation coefficient is: (round to 3 decimal places) c) The critical value is: (round to 3 decimal places) Use the critical value table below d) Based on this, we Reject Ho Fail to reject Ho e) Which means There is not sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim There is sufficient evidence to warrant rejection of the claim The sample data supports the claim