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 asuburb 60 miles outside of New York City.

Property Taxes	Size
21872	2434
17403	2423
18286	1875
15608	1043
43950	5637
33649	2524
15224	2214
16748	1926
18248	2006
16722	1339
15144	1379
36037	3043
31004	2866
42122	3304
14368	1504
38994	4073
25312	4100
22972	2457
16188	3510
29203	2805

a-1. Calculate the sample correlationcoefficient r_xy. (Round intermediatecalculations to at least 4 decimal places and final answers to 4decimal places.)

a-2. Interpret r_xy.

a. The correlation coefficient indicates a positive linearrelationship.

b. The correlation coefficient indicates a negative linearrelationship.

c. The correlation coefficient indicates no linearrelationship.

b. Specify the competing hypotheses in order todetermine whether the population correlation coefficient betweenthe size of a house and property taxes differs from zero.

a. H₀: ρ_xy = 0;H_A: ρ_xy ≠ 0

b. H₀: ρ_xy ≥ 0;H_A: ρ_xy < 0

c. H₀: ρ_xy ≤ 0;H_A: ρ_xy > 0

c-1. Calculate the value of the teststatistic.

c-2. Find the p-value.

a. p-value < 0.01

b. p-value  0.10

c. 0.05  p-value < 0.10

d. 0.02  p-value < 0.05

e. 0.01  p-value < 0.02

d. At the 1% significance level, what is theconclusion to the test?

a. Reject H₀; we can state size and propertytaxes are correlated.

b. Reject H₀; we cannot state size andproperty taxes are correlated.

c. Do not reject H₀; we can state size andproperty taxes are correlated.

d. Do not reject H₀; we cannot state sizeand property taxes are correlated.