A realtor studies the relationship between the size of a house (in square feet) and the property taxes (in $) owed by the owner. The table below shows a portion of the data for 20 homes in a suburb 60 miles outside of New York City. (You may find it useful to reference the t table.) Property Taxes 21,892 Size 2,498 17,421 2,419 29,215 2,871 Click here for the Excel Data File a-1. Calculate the sample correlation coefficient /xy. (Round final answer to 4 decimal places.) Sample correlation coefficient a-2. Interpret rxy- O The correlation coefficient indicates a positive linear relationship. O The correlation coefficient indicates a negative linear relationship. O The correlation coefficient indicates no linear relationship. b. Specify the competing hypotheses in order to determine whether the population correlation coefficient between the size of a house and property taxes differs from zero. Ho: Pxy : = 0; HA: Pxy * 0 >0; HA Pxy < 0 Ho: Pxy 0; HA: Pxy > c-1. Calculate the value of the test statistic. (Round final answer to 3 decimal places.) Test statistic c-2. Find the p-value. p-value < 0.01 O p-value 0.10 0.05 s p-value