According to the given question the value of the Lower Bound is 0.639 and the Upper Bound is 0.762 .
C is a lower bound on the roots of the equation f(x) = 0 if you divide a quadratic function f(x) by (x - c), where c 0, using synthetic division, and the result is switching signs. The fact that negative numbers can be positive or negative deserves special attention. Keep in mind that for c to be a lower bound, two conditions must hold.
Briefing:
Given That :-
X =105
n =150
CI = 90%
Sample size -
Point estimate -
p = n
p = = 0.70
At
90%
Confidence Level 'Z' is,
a = 1-90%
a =1-0.9
a = 0.1
a/2 = 0.05
Za/2 = (1.645)
At
90%
Confidence Interval for Proportion is,
The Lower Bound is 0.639
The Upper Bound is 0.762
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