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The following table shows the selling prices, in thousands of dollars, and the square footages of...

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 0.651 Using α0.01and 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

$259

$194

$254

$170

$250

Square Footage

2745

1861

2193

2183

2386

1) What are the correct null and alternative hypotheses?

2) What is the test statistic? t=

3) What is the p-value? p-value=

4) State the conclusion. _______ H0. There ____ enough evidence from the sample to conclude that p is _______ zero.

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