If female ducks are really indifferent to plain versus green bread, what is the probability that 9 female ducks in a sample of 10 would pick the green bread first just by chance? ___________.

Think about the variable x = # of ducks in the sample that x p(x) prefer the green bread. Think of 'picking green rst' as 'success'. 0 0.000977 Note that the sample size is n=10. If the ducks are truly indifferent to 1 0.009766 plain versus green bread, what is the distribution of the variable x? 2 0.043945 3 0.117188 Name of the distribution: binomial 2 332g: 6 0.205078 7 0.117188 Parameters : n: 10 p=0.5 3 0_o43g45 . 9 0.009766 The values of PM appear to the right 10 0000977 MAtLiMi [.19. at. a. 9.U.Q|.|:|.i.Ql.l-.. If female ducks were truly indifferent between green and plain bread, about how many ducks, of the ten that were observed, would you have expected to choose the green bread rst? 1 0*0.5=5. Of course even if the null hypothesis was true we are not always going to get that result in reality due to sampling variability or just chance. Suppose the biology student nds that 9 of the 10 female ducks sampled prefer the green bread. So p=0.5 and r ' 0'9 If female ducks are really indifferent to plain versus green bread, what is the probability that 9 female ducks in a sample of 10 would pick the green bread rstjust by chance:__ . 1l