A body mass index (BMI) between 20 and 25 indicates a normal weight. In a random survey of 763 people from Group A and 737 people from Group B, it was found that 284 people from Group A and 288 people from Group B were normal weight. Construct a 95% confidence interval of the difference in the proportion of people from Group A and people from Group B who are normal weight. Then interpret the interval. Note
A body mass index (BMI) between 20 and 25 indicates a normal weight. In a random survey of 763 people from Group A and 737 people from Group B, it was found that 284 people from Group A and 288 people from Group B were normal weight. Construct a 95% confidence interval of the difference in the proportion of people from Group A and people from Group B who are normal weight. Then interpret the interval. Note
MATLAB: An Introduction with Applications
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A body mass index (BMI) between 20 and 25 indicates a normal weight. In a random survey of 763 people from Group A and 737 people from Group B, it was found that 284 people from Group A and 288 people from Group B were normal weight. Construct a 95% confidence interval of the difference in the proportion of people from Group A and people from Group B who are normal weight. Then interpret the interval.
Note the subscripts aa and bb represent people from Group A and people from Group B, respectively. Therefore sample 1 is the people from Group A and sample 2 is the people from Group B.
Transcribed Image Text:A body mass index (BMI) between 20 and 25 indicates a normal weight. In a random survey of 763 people
from Group A and 737 people from Group B, it was found that 284 people from Group A and 288 people
from Group B were normal weight. Construct a 95% confidence interval of the difference in the proportion
of people from Group A and people from Group B who are normal weight. Then interpret the interval.
Note the subscripts a and b represent people from Group A and people from Group B, respectively.
Therefore sample 1 is the people from Group A and sample 2 is the people from Group B.
0.372kj20 -0.0677 syntax incomplete. < Pa − Pb < 0.39kj08 × 0.0306 syntax
incomplete.
Round each answer to 4 decimal places.
Interpret this confidence interval.
O We are 95% confident that the point estimate for the the difference of people from Group A and
Group B who are normal weight.
With 95% confidence the interval calculated contains the difference of population proportions of
Group A and Group B who are normal weight.
With 95% confidence the interval calculated contains the difference of sample proportions of people
from Group A and people from Group B who are normal weight.
O There is a 95% probability that either a person from Group A or a person from Group B are normal
weight.
If the two population proportions are the same, the difference between them will be zero. Does your
confidence interval provide significant evidence for a difference of people from Group A and people from
Group B who are normal weight? Explain.
yes, since 0 is not contained within our confidence interval
no, since negative proportion of people from Group A make sense
yes, since the proportion of people from Group B cannot be negative
no, since 0 is contained within our confidence interval
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