Hello Sir. Good Evening. I have a question in my home work related Statistics lesson. The following below is my question. Please advise and Thank you so much. "The study was conducted in 2 cities: C1 and C2 to find out whether there is a difference in the percentage of the elderly population who agree to have free cataract surgery in the area, and to estimate the interval regarding the magnitude of the difference or difference in the percentage in the C1 and C2 areas. Each interviewed 120 people, among others asking whether they wanted cataract surgery or not, from C1 90 people and C2 78 people who agreed to cataract surgery. Make an interval estimate of the difference in the presentation of the opinion of the population who agrees with cataract-free surgery in the two areas, with a 90% confidence level."
Hello Sir.
Good Evening.
I have a question in my home work related Statistics lesson. The following below is my question.
Please advise and Thank you so much.
"The study was conducted in 2 cities: C1 and C2 to find out whether there is a difference in the percentage of the elderly population who agree to have free cataract surgery in the area, and to
Each interviewed 120 people, among others asking whether they wanted cataract surgery or not, from C1 90 people and C2 78 people who agreed to cataract surgery.
Make an interval estimate of the difference in the presentation of the opinion of the population who agrees with cataract-free surgery in the two areas, with a 90% confidence level."
When the sample size for two samples are greater than 30 then we use z-statistic to compute the interval estimate for difference. The interval estimate for the difference between two population is calculated using the formula :
Where,
Cl = Confidence Interval
p̂1 = proportion for sample 1
p̂2 = proportion for sample 2
Zc = Value of Z at given confidence level.
n1 = sample size 1
n2 = sample size 2
Proportion calculation: Proportion can be calculated as,
p̂ = X/n ... (2)
Where,
X = Number of successes in sample.
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