A random sample of 100 patients treated in a program for alcoholism and drug dependency over the past 10 years was selected. It was determined that 53 of the patients had been readmitted to the...

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A random sample of 100 patients treated in a program for alcoholism and drug dependency over the past 10 years was selected. It was determined that 53 of the patients had been readmitted to the program at least once. At the 95% level, construct an estimate for the population proportion.



Answered Same DayDec 26, 2021

Answer To: A random sample of 100 patients treated in a program for alcoholism and drug dependency over the...

David answered on Dec 26 2021
119 Votes
95% Confidence Interval for p
p̂ = x
n
= 53100 = 53/100 = 0.53
Significance level = α = 1− confidence = 1 − 0.95 = 0.05
Critical z-value = zα/2 = z0.05/2 = z0.025 = 1.96 (From z table)
Standard error of p̂ : SE =
√
p̂× (1 − p̂)
n
=
√
0.53 × 0.47
100 ≈ 0.04991
E = zα/2 ×
√
p̂× (1 −...
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