Sample Proportion (p) : 0.4300 (0.4300)(1–0.4300) Standard Error of p = s.e.(p) : 0.0495 100 z* Multiplier = 1.6449 Margin of Error = z* x s.e.(p) = 1.6449 × 0.0495 = 0.0814 Our Interval: p + z* X s.e.(ô) → 0.4300 ± 1.6449 × 0.0495 → (0.3486,0.5114)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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state whether or not this resulting observed interval ended up capturing the true population proportion p of 0.45.

Sample Proportion (p) : 0.4300
(0.4300)(1-0.4300)
Standard Error of p = s.e.(p)
= 0.0495
||
100
z* Multiplier =1.6449
Margin of Error = z* x s.e.(p)
= 1.6449 × 0.0495 = 0.0814
Our Interval: p ±z* × s.e.(ô) = 0.4300 + 1.6449 × 0.0495 → (0.3486, 0.5114)
True Proportion
0.3486
0.5114
0.0
0.2
0.4
0.6
0.8
1.0
p-hat
Transcribed Image Text:Sample Proportion (p) : 0.4300 (0.4300)(1-0.4300) Standard Error of p = s.e.(p) = 0.0495 || 100 z* Multiplier =1.6449 Margin of Error = z* x s.e.(p) = 1.6449 × 0.0495 = 0.0814 Our Interval: p ±z* × s.e.(ô) = 0.4300 + 1.6449 × 0.0495 → (0.3486, 0.5114) True Proportion 0.3486 0.5114 0.0 0.2 0.4 0.6 0.8 1.0 p-hat
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90%CI For p = (p^-E , p^ + E)

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