Question
In: Statistics and Probability
data set yes 27 no 4 find the 95% and 99% confidence intervals for u find...
data set
yes 27 no 4
find the 95% and 99% confidence intervals for u
find the 95% and 99% confidence intervals for o
find the 95% and 99% confidense intervals for p
Solutions
Expert Solution
data set
yes 27 no 4
find the 95% and 99% confidence intervals for p
for this categorical data, confidence intervals for p is performed.
p=27/31= 0.8710
95% CI for p= (0.7530, 0.9890)
99% CI for p= (0.7159, 1.0261)
|
Confidence Interval Estimate for the Proportion |
|
|
Data |
|
|
Sample Size |
31 |
|
Number of Successes |
27 |
|
Confidence Level |
95% |
|
Intermediate Calculations |
|
|
Sample Proportion |
0.8710 |
|
Z Value |
1.9600 |
|
Standard Error of the Proportion |
0.0602 |
|
Interval Half Width |
0.1180 |
|
Confidence Interval |
|
|
Interval Lower Limit |
0.7530 |
|
Interval Upper Limit |
0.9890 |
|
Confidence Interval Estimate for the Proportion |
|
|
Data |
|
|
Sample Size |
31 |
|
Number of Successes |
27 |
|
Confidence Level |
99% |
|
Intermediate Calculations |
|
|
Sample Proportion |
0.8710 |
|
Z Value |
2.576 |
|
Standard Error of the Proportion |
0.0602 |
|
Interval Half Width |
0.1551 |
|
Confidence Interval |
|
|
Interval Lower Limit |
0.7159 |
|
Interval Upper Limit |
1.0261 |
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