Question

Body imageA 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.

(a) What percent of respondents feel that their body weight is about right?

(b) What proportion of the sample is female?

(c) What percent of respondents are males and feel that they are overweight or underweight?

Short answer

Part (a) 71.25%

Part (b) 63.33%

Part (c) 12.08%

Step-by-step solution

Part (a) Step 1. Given information.

The given table is:

Part (a) Step 1. Find the percent of respondents who feel their body weight is about right.

Total respondents that feel their body weight is about right are: 855

Total number of college students: 1200

The required percentage is:

$\frac{855}{1200}=0.7125\mathrm{or}71.25\%$

Part (b) Step 1. Find the proportion of the sample female.

The total number of females in the sample is: 760

Total Samples: 1200

The required percentage is:

$\frac{760}{1200}=0.6333\mathrm{or}63.33\%$

Part (c)  Find the percent of male respondents that feel overweight or underweight.

The total number of overweight or underweight Males is:

$72+73=145$

Their percentage is:

$\frac{145}{1200}\approx 0.1208\mathrm{or}12.08\%$