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 )
A bar model is (2)(2)(2)(2) that would be 4+2=6 and you could do 6+4=10
Answer:
Step-by-step explanation:
In parallelogram opposite angles are equal
6x = 66 {Divide both sides by 6}
x = 66/6
x = 11
20y - 46 = 13y + 10 {Add 46 to both sides}
20y - 46 + 46 = 13y + 10 + 46
20y = 13y + 56 {Subtract 13y from both sides}
20y - 13y = 13y-13y + 56
7y = 56 {Divide both sides by 7}
y = 56/7
y = 8
A.) borrower must pay off the loan.
