In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score. A random sample of 18 soccer matches found that the linear correlation coefficient between shots taken and goals scored was 0.31. Does this result suggest that the correlation is statistically significant? Use a = 9.01. 1. Select the correct statement: O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in x cause changes in y O If the correlation is found to be statistically significant, that means that changes in x cause changes in y The hypotheses are: O Ho:r = 0; Ha:r 0 O Ho:p > 0; Ha:p < 0 O Ho:r < 0; Ha:r > 0 O Ho:p < 0; Ha:p> 0 O Ho:p = 0; Ha:p +0 O Ho:r > 0; Ha:r < 0 2. This is a O rightO twoO left tailed test and the distribution used is OT OZ

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The Degrees of Freedom are
O 16
O 18
O N/A; this is a Z-test
O 17
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 sinceP> a
O Reject Ho since P> a
The conclusion is:
O There is insufficient evidence to conclude that there is not a statistically significant linear
correlation
O There is sufficient evidence to conclude that there is not 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 a statistically significant linear correlation
Transcribed Image Text:The Degrees of Freedom are O 16 O 18 O N/A; this is a Z-test O 17 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 sinceP> a O Reject Ho since P> a The conclusion is: O There is insufficient evidence to conclude that there is not a statistically significant linear correlation O There is sufficient evidence to conclude that there is not 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 a statistically significant linear correlation
In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score.
A random sample of 18 soccer matches found that the linear correlation coefficient between shots taken
and goals scored was 0.31.
Does this result suggest that the correlation is statistically significant? Use a = 0.01.
1. Select the correct statement:
O Even if the correlation is found to be statistically significant, that does not necessarily mean that
changes in x cause changes in y
O If the correlation is found to be statistically significant, that means that changes in x cause changes
in y
The hypotheses are:
O Ho:r = 0; Ha:r +0
O Ho:p > 0; Ha:p < 0
O Ho:r < 0; Ha:r > 0
or
O Ho:p < 0; Ha:p > 0
O Ho:p = 0; Ha:p# 0
O Ho:r > 0; Ha:r < 0
2. This is a O rightO twoO left tailed test and the distribution used is
От
OZ
of Freedom are
Transcribed Image Text:In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score. A random sample of 18 soccer matches found that the linear correlation coefficient between shots taken and goals scored was 0.31. Does this result suggest that the correlation is statistically significant? Use a = 0.01. 1. Select the correct statement: O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in x cause changes in y O If the correlation is found to be statistically significant, that means that changes in x cause changes in y The hypotheses are: O Ho:r = 0; Ha:r +0 O Ho:p > 0; Ha:p < 0 O Ho:r < 0; Ha:r > 0 or O Ho:p < 0; Ha:p > 0 O Ho:p = 0; Ha:p# 0 O Ho:r > 0; Ha:r < 0 2. This is a O rightO twoO left tailed test and the distribution used is От OZ of Freedom are
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