A realtor studies the relationship between the size of a house (in square feet) and the...

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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 <0.10 O 0.02 s p-value < 0.05 O 0.01 < p-value < 0.02 d. At the 5% significance level, what is the conclusion to the test? Reject Hg; we can state size and property taxes are correlated. Reject Hg; we cannot state size and property taxes are correlated. Do not reject H; we can state size and property taxes are correlated. Do not reject Hg; we cannot state size and property taxes are correlated. Taxes Size 21892 2498 17421 2419 18170 1877 15679 1011 43962 5607 33657 2575 15300 2248 16789 1984 18108 2021 16794 1311 15113 1327 36069 3033 31058 2871 42126 3346 14392 1533 38911 4032 25323 4041 22972 2446 16160 3596 29215 2871 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 <0.10 O 0.02 s p-value < 0.05 O 0.01 < p-value < 0.02 d. At the 5% significance level, what is the conclusion to the test? Reject Hg; we can state size and property taxes are correlated. Reject Hg; we cannot state size and property taxes are correlated. Do not reject H; we can state size and property taxes are correlated. Do not reject Hg; we cannot state size and property taxes are correlated. Taxes Size 21892 2498 17421 2419 18170 1877 15679 1011 43962 5607 33657 2575 15300 2248 16789 1984 18108 2021 16794 1311 15113 1327 36069 3033 31058 2871 42126 3346 14392 1533 38911 4032 25323 4041 22972 2446 16160 3596 29215 2871