Answer: 90% confidence interval is; ( - 0.0516, 0.3752 )
Step-by-step explanation:
Given the data in the question;
n1 = 72, n2 = 17
P1 = 54 / 72 = 0.75
P2 = 10 / 17 = 0.5882
so
P_good = 0.75
P_bad = 0.5882
standard ERRROR will be;
SE = √[(0.75×(1-0.75)/72) + (0.5882×(1-0.5882)/17)]
SE = √( 0.002604 + 0.01424)
SE = 0.12978
given confidence interval = 90%
significance level a = (1 - 90/100) = 0.1, |Z( 0.1/2=0.05)| = 1.645 { from standard normal table}
so
93% CI is;
(0.75 - 0.5882) - 1.645×0.12978 <P_good - P_bad< (0.75 - 0.5882) + 1.645×0.12978
⇒0.1618 - 0.2134 <P_good - P_bad< 0.1618 + 0.2134
⇒ - 0.0516 <P_good - P_bad< 0.3752
Therefore 90% confidence interval is; ( - 0.0516, 0.3752 )
First find equation
center is (h,k) then
(x-h)^2+(y-k)^2=r^2
given
(7,0) is center
(x-7)^2+y^2=r^2
also given (2,0)
(2-7)^2+0^2=r^2
(-5)^2=r^2
25=r^2
(x-7)^2+y^2=25 is equation
take derivitive of both sides, implicit differntiaton
2(x-7)+2y dy/dx=0
2(x-7)=-2y dy/dx
(7-x)/y=dy/dx
at (2,0)
(7-2)/0
undefined
that means the line is x=something
(2,0)
the equation is x=2
It is 93 million miles away from earth. hope that helped
