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 0.545. Using a = 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? 4 Selling Price $260 $193 $259 $160 $248 Square Footage 2789 1896 2130 2170 2306 What are the correct null and alternative hypotheses? OA. Ho: p=0 H₁: p>0 OC. Ho p=0 H₁: p=0 What is the test statistic? =(Round to two decimal places as needed.) What is the p-value? p-value= (Round to three decimal places as needed) State the conclusion. Ho. There enough evidence from the sample to conclude that pis OB. Ho p>0 H₁: p=0 OD. Ho p#0 H₁: p=0 zero.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 0.545. Using a = 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?
4
Selling Price
$260 $193 $259 $160 $248 D₂₁
Square Footage 2789 1896 2130 2170 2306
What are the correct null and alternative hypotheses?
OA. Ho: p=0
H₁: p>0
OC. Ho: p=0
H₁: p=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.
Ho. There
enough evidence from the sample to conclude that p is.
OB. Ho: p>0
H₁: p=0
O D. Ho: p=0
H₁: p=0
zero
Transcribed Image Text: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 0.545. Using a = 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? 4 Selling Price $260 $193 $259 $160 $248 D₂₁ Square Footage 2789 1896 2130 2170 2306 What are the correct null and alternative hypotheses? OA. Ho: p=0 H₁: p>0 OC. Ho: p=0 H₁: p=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. Ho. There enough evidence from the sample to conclude that p is. OB. Ho: p>0 H₁: p=0 O D. Ho: p=0 H₁: p=0 zero
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