This exercise uses data from a study designed to examine the effect of doing syn
ID: 3277499 • Letter: T
Question
This exercise uses data from a study designed to examine the effect of doing synchronized movements (such as marching in step or doing synchronized dance steps) and the effect of exertion on many different variables, such as pain tolerance and attitudes towards others. In the study, 264 high school students in Brazil were randomly assigned to one of four groups reflecting whether or not movements were synchronized (Synch= yes or no) and level of activity (Exertion= high or low).1 Participants rated how close they felt to others in their group both before (CloseBefore) and after (CloseAfter) the activity, using a 7-point scale (1=least close to 7=most close). Participants also had their pain tolerance measured using pressure from a blood pressure cuff, by indicating when the pressure became too uncomfortable (up to a maximum pressure of 300 mmHg). Higher numbers for this PainTolerance measure indicate higher pain tolerance. The full dataset is available in SynchronizedMovement.
What Proportion Go to Maximum Pressure?
We see that 75 of the 264 people in the study allowed the pressure to reach its maximum level of 300 mmHg, without ever saying that the pain was too much (MaxPressure=yes). Use this information to estimate the proportion of people who would allow the pressure to reach its maximum level.
Click here for the dataset associated with this question.
Click here to access StatKey.
1Tarr B, Launay J, Cohen E, and Dunbar R, "Synchrony and exertion during dance independently raise pain threshold and encourage social bonding," Biology Letters, 11(10), October 2015.
(a) Give notation for the quantity we are estimating.
LINK TO TEXT
(b) Give the correct notation for the sample statistic.
LINK TO TEXT
the absolute tolerance is +/-0.01
LINK TO TEXT
the absolute tolerance is +/-0.003
LINK TO TEXT
LINK TO TEXT
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SUBMIT ANSWER
This exercise uses data from a study designed to examine the effect of doing synchronized movements (such as marching in step or doing synchronized dance steps) and the effect of exertion on many different variables, such as pain tolerance and attitudes towards others. In the study, 264 high school students in Brazil were randomly assigned to one of four groups reflecting whether or not movements were synchronized (Synch= yes or no) and level of activity (Exertion= high or low).1 Participants rated how close they felt to others in their group both before (CloseBefore) and after (CloseAfter) the activity, using a 7-point scale (1=least close to 7=most close). Participants also had their pain tolerance measured using pressure from a blood pressure cuff, by indicating when the pressure became too uncomfortable (up to a maximum pressure of 300 mmHg). Higher numbers for this PainTolerance measure indicate higher pain tolerance. The full dataset is available in SynchronizedMovement.
What Proportion Go to Maximum Pressure?
We see that 75 of the 264 people in the study allowed the pressure to reach its maximum level of 300 mmHg, without ever saying that the pain was too much (MaxPressure=yes). Use this information to estimate the proportion of people who would allow the pressure to reach its maximum level.
Click here for the dataset associated with this question.
Click here to access StatKey.
1Tarr B, Launay J, Cohen E, and Dunbar R, "Synchrony and exertion during dance independently raise pain threshold and encourage social bonding," Biology Letters, 11(10), October 2015.
(a) Give notation for the quantity we are estimating.
LINK TO TEXT
(b) Give the correct notation for the sample statistic.
LINK TO TEXT
(c) Use StatKey or other technology to find the value of the sample statistic.
Round your answer to three decimal places.
Sample statistic =
the absolute tolerance is +/-0.01
LINK TO TEXT
(d) Use StatKey or other technology to find the standard error for the estimate.
Round your answer to three decimal places.
Standard error =
the absolute tolerance is +/-0.003
LINK TO TEXT
(e) Use the standard error to give a 95% confidence interval for the quantity we are estimating.
Round your answers three decimal places.
The interval is to .
LINK TO TEXT
Question Attempts: 0 of 4 usedSAVE FOR LATER
SUBMIT ANSWER
Explanation / Answer
(a) Give notation for the quantity we are estimating
we are estimating population proprtion
denoted with p
(b) Give the correct notation for the sample statistic.
sample proprtion,p^
c) Use StatKey or other technology to find the value of the sample statistic.
Round your answer to three decimal places.
Sample statistic =p^=x/n=successes/observatons=75/264=0.284091
=0.28
d) Use StatKey or other technology to find the standard error for the estimate.
Round your answer to three decimal places.
standard error=sqrt(p^(1-p^)/n)
=sqrt(0.28(1-0.28)/264)
=0.028
std error=0.028
95% confidence inetrval for population proportion is
sample proportion-zcrit*stdderror,sample proportion+zcrit*stdderror
=0.28-1.96(0.028),0.28+1.96(0.028)
=0.22512,0.3349
=0.22,0.33
lower limit=0.22
upper limit=0.33
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