Researchers wanted to know if the females are pickier in their ratings of the quality of the restrooms than males; or, if the quality of the facilities rating is independent of gender. A survey was conducted of 100 randomly selected travelers who used a certain gas station restroom. Here are the results.
Quality of Restroom Facility
Above Average Average Below Average Total
Sex Female 11 24 29 64
Male 9 34 12 55
Total 20 41 119
a. What percent of the respondents were female?
b. What percent of the respondents said the restrooms were above average ?
c. What percent of the respondents were females who said the restroom was below average?
d. What percent of males said the restrooms were average?
e. What percent of respondents who rated the restrooms below average were male?
f. Find the marginal distribution (percentages) for sex.
g. Find the marginal distribution (percentages) for quality of restroom facility.
h. Find the conditional distribution (percentages) for quality of restroom facility for females.
Remember to show your work!!