The paper ?Accuracy and Reliability of Self-Reported Weight and Height in the Sister Study? (Public Health Nutrition [2012]: 989?999) investigates whether women accurately report their weight. The table below is based on comparing actual weight to self-reported weight for women participating in a large-scale medical study. Each participant was classified into a category describing accuracy of reported weight and also by age.

Assume that it is reasonable to consider these data representative of adult women in the United States.

Consider the following conclusion:

Most women reported their weight to within 3 pounds of their actual weight. Older women were less likely to under report their weight and more likely to over report their weight than younger women.

Provide a justification for this conclusion. Use the information in the table to calculate relevant probabilities.

Transcribed Image Text:

Accuracy Category Under Over- reported by more reported by weight than 7 Reported reported by 4 or Under- between 4 within 3 more pounds Age < 45 years 45-54 years 55-64 years Ibs. and 7 Ibs. Ibs. 297 373 1,594 207 763 902 4,130 4,383 510 677 966 545 65+ years 263 444 2,285 300