Concept explainers
(a)
To find: The proportion of female of the respondents who felt their body weight was about right.
(a)
Answer to Problem 31E
The proportion of female of the respondents who felt their body weight was about right is 0.6550.
Explanation of Solution
Given information:
The two way table of the gender is given below
Female | Male | Total | ||
Body Image | About right | 560 | 295 | 855 |
Overweight | 163 | 72 | 235 | |
Underweight | 37 | 73 | 110 | |
Total | 760 | 440 | 1200 |
Formula used:
Calculation:
From the given table-
Number of respondents who felt that their body weight is about right = 855
Number of respondents who are female and felt that their body weight is about right = 560
(b)
To find: The proportion of the respondents who felt their body weight was about right of the population of female.
Answer to Problem 31E
The proportion of the respondents who felt their body weight was about right of the population of female is 0.7368.
Explanation of Solution
Formula used:
Calculation:
From the given table-
Number of respondents who are female = 760
Number of respondents who are female and felt that their body weight is about right = 560
c)
To check: Whether there is any association between gender and body image or not.
Answer to Problem 31E
There seems to be some (but not significant) association between gender and body image.
Explanation of Solution
There is no association if the segmented regions of bars are of equal area.
In this case, the segment of about right is almost equal for female and male but is different for underweight and overweight.
So, as per the definition there is some association between gender and body image.
Chapter 1 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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