(2) (a) Let p_(m) and p_(f) be the respective proportion of male and female white-crowned
sparrows that return to their hatching site. If 124 out of 894 males and 70 out of
700 females returned, what could be your conclusion of the test H_(0):p_(m)=p_(f)
against H_(1):p_(m)!=p_(f) with significance level 0.05?
H_(0):p_(m):p_(f),H_(1):p_(m)!=p_(f)
(b) Independent random samples of size n_(1)=11 and n_(2)=9 from two normal
populations have the sample standard deviation s_(1)=4.8 and s_(2)=3.5 respectively.
Find a 95% confidence interval for the ratio of the variances (sigma _(1)^(2))/(sigma _(2)^(2)).
(2)(a) Let p.m and p be the respective proportion of male and female white-crowned sparrows that return to their hatching site. If 124 out of 894 males and 70 out of 700 females returned, what could be your conclusion of the test Ho : Pm = Pf against H1 : Pm # pf with significance level 0.05? H.PmPs HPmP
}Jp
X05(1):3.S41
Ohyeived(Exputd)
eurn Mall 124109
124-100+70-255 3255 630-615 785 613
Emalnl 705 630(61510
=2.064..+0.86...+7.647.-+Q3658
1400
hbSI
5.364 5364>3541
194
Rejec+ Ho.So,Pmis not equal to Ps
(b) Independent random samples of size n1 = 11 and n2 = 9 from two normal populations have the sample standard deviation s1 = 4.8 and s2 = 3.5 respectively. Find a 95% confidence interval for the ratio of the variances o?/o2