Question 17 In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score. A random sample of 23 soccer matches found that the linear correlation coefficient between shots taken and goals scored was 0.33. Does this result suggest that the correlation is statistically significant? Use a = 0.10. 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 Ο Ho:ρ Σ 0; Ha:p< 0 O Ho:r = 0; Ha:r+0 O Ho:p = 0; Ha:p# 0 O Ho:r 2 0; Ha:r <0 O Ho:p s 0; Ha:p> 0 %3D or %3D 2. This is a O leftO twoO right tailed test and the distribution used is Oz OT The Degrees of Freedom are ON/A; this is a Z-test 23 21 O22 MacBook Air

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• Question 17
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In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score.
A random sample of 23 soccer matches found that the linear correlation coefficient between shots taken
and goals scored was 0.33.
Does this result suggest that the correlation is statistically significant? Use a = 0.10.
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
Ο Ho:ρ Σ 0; Ha:ρ< 0
O Ho:r = 0; Ha:r + 0
O Ho:p= 0; Ha:p#0
O Ho:r 2 0; Ha:r < 0
O Ho:p < 0; Ha:p> 0
or
2. This is a C leftO twoo right tailed test and the distribution used is
Oz
OT
The Degrees of Freedom are
ON/A; this is a Z-test
O23
O21
MacBook Air
80
680
B00
F4
F2
ES
F6
4)
F7
FB
F9
F10
%23
%24
&
3
4.
5
8
E
R.
Y
* 00
Transcribed Image Text:• Question 17 > In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score. A random sample of 23 soccer matches found that the linear correlation coefficient between shots taken and goals scored was 0.33. Does this result suggest that the correlation is statistically significant? Use a = 0.10. 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 Ο Ho:ρ Σ 0; Ha:ρ< 0 O Ho:r = 0; Ha:r + 0 O Ho:p= 0; Ha:p#0 O Ho:r 2 0; Ha:r < 0 O Ho:p < 0; Ha:p> 0 or 2. This is a C leftO twoo right tailed test and the distribution used is Oz OT The Degrees of Freedom are ON/A; this is a Z-test O23 O21 MacBook Air 80 680 B00 F4 F2 ES F6 4) F7 FB F9 F10 %23 %24 & 3 4. 5 8 E R. Y * 00
3. The STS (round to 3 decimals) is:
The P-value (round to 4 decimals) is:
4. The decision at a = 0.10 is:
O Do not reject Ho since P < a
O Reject Ho since P> a
Reject Ho since P< a
O Do not 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 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 not a statistically significant linear correlation
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Transcribed Image Text:3. The STS (round to 3 decimals) is: The P-value (round to 4 decimals) is: 4. The decision at a = 0.10 is: O Do not reject Ho since P < a O Reject Ho since P> a Reject Ho since P< a O Do not 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 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 not a statistically significant linear correlation Submit Question
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