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Nicole and Elena wanted to know if listening to music at a louder volume negatively impacts test performance. To investigate, they recruited 30 volunteers and

Nicole and Elena wanted to know if listening to music at a louder volume negatively impacts test performance. To investigate, they recruited 30 volunteers and randomly assigned 10 volunteers to listen to music at 30 decibels, 10 volunteers to listen to music at 60 decibels, and 10 volunteers to listen to music at 90 decibels. While listening to the music, each student took a 10-question math test. Given is computer output from a least-squares regression analysis using = volume and = number correct.

Predictor Coef SE Coef T P
Constant 9.9000 0.7525 13.156 0.0000
Volume -0.0483 0.0116 -4.163 0.0003
S=1.55781 R-Sq=38.2% R-Sq(adj)=36.0%

Based on the computer output, which is an appropriate conclusion for the researcher to make, linked to the correct -value?

Because the -value of 0.0003<=0.050.0003<=0.05, we fail to reject 00. There is not convincing evidence of a negative linear relationship relating = performance on the 10-question math test to = volume of the music for students like these.

A. Because the -value of 0.00015<=0.050.00015<=0.05, we reject 00. There is convincing evidence of no linear relationship relating = performance on the 10-question math test to = volume of the music for students like these.

B. Because the -value of 0.0003<=0.050.0003<=0.05, we reject 00. There is convincing evidence of a negative linear relationship relating = performance on the 10-question math test to = volume of the music for students like these.

C. Because the -value of 0.00015<=0.050.00015<=0.05, we reject 00. There is convincing evidence of a negative linear relationship relating = performance on the 10-question math test to = volume of the music for students like these.

D. Because the -value of 0.00015<=0.050.00015<=0.05, we fail to reject 00. There is not convincing evidence of a negative linear relationship relating = performance on the 10-question math test to = volume of the music for students like these.

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