Question: A researcher is studying a polygamous species in which males establish territories and attract females to become a member of their harem once each year during breeding season. Males and Females are equally frequent in newborns and it is assumed that the 2 genders are equally represented throughout the population. During the breeding season, males establish territories and attract females to become part of their harem and the researcher is interested in determining if there is variation among the male sin their ability to attract females to their harem. The territories are all very close together and the males compete for the females. At the end of the breeding season, the researcher determined the number of mates for each of the 134 males. The data are below:

# of females in harem: 0 1 2 3 4 5 6 7 or more Number of males: 85 22 12 9 3 2 1 0

Do these data indicate significant variability among males in ability to attract females above what would be expected if the number of mates is randomly determined?

Assuming that all females mate, the average number of females per harem should be 1.0. Do these data indicate that a significant proportion of females do not mate?

*With both answers, be sure to indicate what statistical method you use to solve this problem and show your work IN DETAIL!