We want to know the true proportion of students that are ok with online courses. We take a sample of 120 students, and 72 said they are ok with online courses. We want to create a 95% confidence interval. Answer the questions below: 3) What is the margin of error for this data?

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Hi ! I do not understand the difference between margin error and confidence interval. I am struggling to solve Question 3 that is circled in red. I would appreciate any help, thank you :)
We want to know the true proportion of students that are ok with online courses.
We take a sample of 120 students, and 72 said they are ok with online courses. We want to create
a 95% confidence interval. Answer the questions below:
3) What is the margin of error for this data?
Transcribed Image Text:We want to know the true proportion of students that are ok with online courses. We take a sample of 120 students, and 72 said they are ok with online courses. We want to create a 95% confidence interval. Answer the questions below: 3) What is the margin of error for this data?
1) What is the point
estimate for the population
proportion?
Sample proportion >= x/n
X= 72; n = 120
point estimate of
the
Population proportion is 9.60
2) What is a 95% confidence interval for this
data?
= 72/120
= 0.60
faveralde cases >> X = 72
Sample size → n = 120
confidence level = 95%
critical value for 2 tailed
at
is 7 = 1.96
en exel fiuction, type in = NORM. S. INV (1-0.05/2)
= 0.05
x = 5% =
Sample population:
第一张
72/120 = 0.6
95% confidence interval is
C.I. - (P + * *√√(1-P))
n
0.6 ± 1.96 + √0.6(1-0.6))
120
C.I. (0.512, 0.688)
Transcribed Image Text:1) What is the point estimate for the population proportion? Sample proportion >= x/n X= 72; n = 120 point estimate of the Population proportion is 9.60 2) What is a 95% confidence interval for this data? = 72/120 = 0.60 faveralde cases >> X = 72 Sample size → n = 120 confidence level = 95% critical value for 2 tailed at is 7 = 1.96 en exel fiuction, type in = NORM. S. INV (1-0.05/2) = 0.05 x = 5% = Sample population: 第一张 72/120 = 0.6 95% confidence interval is C.I. - (P + * *√√(1-P)) n 0.6 ± 1.96 + √0.6(1-0.6)) 120 C.I. (0.512, 0.688)
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