Test the claim that the linear correlation coefficient of a population is statistically significant. A random sample of 18 (x,y) pairs yields r = 0.31. Use a 0.01.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2BGP
icon
Related questions
icon
Concept explainers
Question
ons
Test the claim that the linear correlation coefficient of a population is statistically significant. A random
sample of 18 (x,y) pairs yields r = 0.31. Use a = 0.01.
1. Select the correct statement:
O If the correlation is found to be statistically significant, that means that changes in x cause changes
in y
O Even if the correlation
changes in x cause changes in y
found to be statistically significant, that does nôt necessarily mean that
king Online
The hypotheses are:
O Ho:r = 0; Ha:r + 0
Drive
O Ho:r > 0; Ha:r <0
O Ho:r < 0; Ha:r > 0
55
O Ho:p > 0; Ha:p < 0
О Но: р < 0%;B На: р > 0
iscover
xam Proctor
O Ho:p = 0; Ha:p+ 0
Net
Zoom
2. This is a C twoO leftO right tailed test and the distribution used is
OT
Oz
The Degrees of Freedom are
O 18
O 16
O 17
ON/A: this is a Z-test
Transcribed Image Text:ons Test the claim that the linear correlation coefficient of a population is statistically significant. A random sample of 18 (x,y) pairs yields r = 0.31. Use a = 0.01. 1. Select the correct statement: O If the correlation is found to be statistically significant, that means that changes in x cause changes in y O Even if the correlation changes in x cause changes in y found to be statistically significant, that does nôt necessarily mean that king Online The hypotheses are: O Ho:r = 0; Ha:r + 0 Drive O Ho:r > 0; Ha:r <0 O Ho:r < 0; Ha:r > 0 55 O Ho:p > 0; Ha:p < 0 О Но: р < 0%;B На: р > 0 iscover xam Proctor O Ho:p = 0; Ha:p+ 0 Net Zoom 2. This is a C twoO leftO right tailed test and the distribution used is OT Oz The Degrees of Freedom are O 18 O 16 O 17 ON/A: this is a Z-test
OT
OZ
The Degrees of Freedom are
O 18
O 16
O 17
O N/A; this is a Z-test
3. The STS (round to 3 decimals) is:
The P-value (round to 4 decimals) is:
4. The decision at a = 0.01 is:
O Do not reject Ho since P > a
O Reject Ho since P < a
O Do not reject Ho since P < a
O Reject Ho since P > a
The conclusion is:
O There is sufficient evidence to conclude that there is not a statistically significant linear correlation
O There is insufficient evidence to conclude that there is a statistically significant linear correlation
O There is sufficient evidence to conclude that there is a statistically significant linear correlation
O There is insufficient evidence to conclude that there is not a statistically significant linear
correlation
Transcribed Image Text:OT OZ The Degrees of Freedom are O 18 O 16 O 17 O N/A; this is a Z-test 3. The STS (round to 3 decimals) is: The P-value (round to 4 decimals) is: 4. The decision at a = 0.01 is: O Do not reject Ho since P > a O Reject Ho since P < a O Do not reject Ho since P < a O Reject Ho since P > a The conclusion is: O There is sufficient evidence to conclude that there is not a statistically significant linear correlation O There is insufficient evidence to conclude that there is a statistically significant linear correlation O There is sufficient evidence to conclude that there is a statistically significant linear correlation O There is insufficient evidence to conclude that there is not a statistically significant linear correlation
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage