A random sample of 1200 U.S. college students was asked, "What is your perception of your own body? Do you feel that you are overweight, underweight,

aortiH 2021-05-22 Answered

A random sample of 1200 U.S. college students was asked, "What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?" The two-way table summarizes the data on perceived body image by gender.\(\begin{array}{ccc} & \text{Gender} \\ \text{Body image} & {\begin{array}{l|c|c|r} & \text { Female } & \text { Male } & \text { Total } \\ \hline \text { About right } & 560 & 295 & 855 \\ \hline \text { Overwerght } & 163 & 72 & 235 \\ \hline \text { Underweight } & 37 & 73 & 110 \\ \hline \text { Total } & 760 & 440 & 1200 \end{array}} \\ \end{array}\)What percent of respondents are males and feel that they are overweight or underweight?

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komunidadO
Answered 2021-05-23 Author has 10723 answers
The study includes 1200 U.S. college students.
Female Male Total
About right 560 295 855
Overweight 163 72 235
Underweight 37 73 110
Total 760 440 1200
We then note that 72 of the 1200 US, college students are males who feel they are overweight (as 72 is mentioned in the row "Overweight” and in the column ”Male” of the table) and 73 of the 1200 U.S. college students are males who feel they are underweight (as 73 is mentioned in the row Underweight” and in the column ”Male” of the table).
\(\displaystyle\frac{{{72}+{73}}}{{1200}}=\frac{{145}}{{1200}}=\frac{{29}}{{240}}\sim{0.1208}={12.08}\%\)
Thus approximately 12.08% of the respondents are male and feel that they are either overweight or underweight.
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