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.

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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
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