The following table shows the selling prices, in thousands of dollars, and the s

Question

The following table shows the selling prices, in thousands of dollars, and the square footages of five randomly selected houses recently sold by a real estate company. The data have a sample correlation coefficient, rounded to three decimal places, of 0.655. Using alpha = 0.01 and the data given below, test the significance of the population correlation coefficient between a house's selling price and its square footage. What conclusions can you draw? Selling Price $251 $192 $250 $168 $246 Square Footage 2717 1887 2160 2106 2327 What are the correct null and alternative hypotheses? A. H_0: rho > 0 H_1: rho = 0 B. H_0: rho notequalto 0 H_1: rho = 0 C. H_0: rho = 0 H_1: rho > 0 D. H_0: rho = 0 H_1: rho notequalto 0 What is the test statistic? t = (Round to two decimal places as needed.) What is the p-value? p-value = (Round to three decimal places as needed.) State the conclusion. (1) H_0. There (2) enough evidence from the sample to conclude that p is (3) zero. (1) Reject Do not reject (2) is is not (3) less than greater than not equal to

Explanation / Answer

Correct null and alternative hypothesis are option-D

Correlation coefficient r= 0.6147

Test statistic t=r*sqrt(n-2)/sqrt(1-r2)=1.35

p-value= 0.270

(1) Do not reject

(2) Is not

(3) not equal to

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