In a recent health survey 260 randomly selected college unde

In a recent health survey, 260 randomly selected college undergraduates were asked, \"Regarding your current weight, do you feel that you\'re: \'About right\', \'Overweight\', or \'Underweight\'?\" A contingency table summarizing the results of this survey is provided below.

Assume that this is a representative sample for men and women in this age group.

1) In this study the explanatory variable is:

A) Quantitative and discrete

B) Qualitative and ordinal    

C) You cannot have an explanatory variable for bivariate qualitative data

D) Impossible to tell without a regression equation or a scatterplot

E) Gender

F) Perception of weight

G) You cannot have a response variable for bivariate qualitative data

Note: for the problems in this section you can, where appropriate, express your answers in fractional \'n/d\' form. If you compute a decimal answer, please use 3 decimal precision.

2) The best point estimate for the proportion of all college undergraduates who perceive themselves to be about right is:



3) The odds that a man sees himself as being underweight is:

4) The odds ratio for a woman seeing herself as overweight versus a male in the same age group is:

Weight Perception versus Gender Gender About right Overweight Underweight Female 102 Male 101 14 9 32

Solution

1. quantitative and discrete option A is right

2.102/125 = 0.816 for females

101/135 = 0.748 for males

3. p = 32/135 for underweight

odds = p / 1-p = 32/103

4.14 / 111 odds for female

2 /133 odds for males

odds ratio ; 931 / 111