Chapter 4, Section 2, Exercise 070 Red or Pink Display of Fertility Female prima

Question

Chapter 4, Section 2, Exercise 070 Red or Pink Display of Fertility Female primates visibly display their fertile window, often with red or pink coloration. Do humans also do this? A study1 looked at whether human females are more likely to wear red or pink during their fertile window (days 6-14 of their cycle). They collected data on 24 female undergraduates at the University of British Columbia, and asked each how many days it had been since her last period, and observed the color of her shirt. Of the 10 females in their fertile window, 4 were wearing red or pink shirts. Of the 14 females not in their fertile window, only 1 was wearing a red or pink shirt. Let group 1 be females wearing a red or pink shirt in the fertile group; and group 2 be females wearing a red or pink shirt in the not fertile group. Beall, ?.?. and Tracy,·L. (2013).-Women Are More Likely to wear Red or Pink at Peak Fertility", Psychological Science, 24(9): 1837-1841, doi: 10.1177/0956797613476045

Explanation / Answer

(a) H0 : p1 = p2

Ha : p1 > p2

(b) p^1 - p^2 = 4/10 - 1/14 = 0.3286

(c) so here as we kno that p^1 - p^2 = 0.329

so p - value = Pr( p^1 - p^2 >= 0.329 ; p^1 - p^2 = 0) = (68+5) /1000 = 0.073

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