AP Stats Unit 6-Confidence Interval Procedures
0.0(0)
Learn
Practice Test
Spaced Repetition
Match
FlashcardsCard Sorting
1/14
Earn XP
Description and Tags
What is the definition of each confidence interval procedure? What are their conditions?
Study Analytics
Name | Mastery | Learn | Test | Matching | Spaced |
|---|
No study sessions yet.
15 Terms
1
New cards
One Sample Z-Interval for a population proportion
Estimating the proportion of of successes in a single population
2
New cards
Conditions of a One Sample Z-Interval for a population proportion
Independence:
Data collected using a random Sample
Sample Size n is ≥10% of N
\
Approximately Normal:
Large counts n(p̂ )≥ 10 and n(1-p̂ )≥10
Data collected using a random Sample
Sample Size n is ≥10% of N
\
Approximately Normal:
Large counts n(p̂ )≥ 10 and n(1-p̂ )≥10
3
New cards
What is the form of Confidence Intervals
CI= point estimate ± margin of error
4
New cards
What is the point estimate?
Value of random variable
Ex: p̂ or x̄
Ex: p̂ or x̄
5
New cards
How do you find moE?
critical value(standard error of statistic)
6
New cards
2 sample Z interval for a difference in proportions
Estimating the difference in proportions
7
New cards
When is it appropriate to use a 2 sample Z interval for a difference in proportions?
When either:
2 random samples have been selected
subjects are randomly assigned to 2 random groups
2 random samples have been selected
subjects are randomly assigned to 2 random groups
8
New cards
Conditions of a Two Sample Z-Interval for a population proportion
Independence:
Data collected using TWO random Samples
Sample Size n is ≥10% of N for BOTH samples
\
Approximately Normal:
Large counts n(p̂ )≥ 10 and n(1-p̂ )≥10 for BOTH samples
Data collected using TWO random Samples
Sample Size n is ≥10% of N for BOTH samples
\
Approximately Normal:
Large counts n(p̂ )≥ 10 and n(1-p̂ )≥10 for BOTH samples
9
New cards
How do you find the confidence interval for a difference in proportions?
(p1-p2)± z\*(standard error of statistic)
10
New cards
2 sample T interval for a difference in means
Estimating the difference in means
11
New cards
One Sample T-Interval for a population mean
Estimating the mean in a single population
12
New cards
Conditions of a One Sample Z-Interval for a population proportion
Independence:
Data collected using a random sample
Sample Size n is ≥10% of N
\
Normal Distribution:
n is greater than or equal to 30
If n < 30 data MUST be free from strong skewness or outliers
Data collected using a random sample
Sample Size n is ≥10% of N
\
Normal Distribution:
n is greater than or equal to 30
If n < 30 data MUST be free from strong skewness or outliers
13
New cards
How do you find T\* using calculator?
Inverse t distribution
area: 1 - C% as a decimal…divide that value by 2
df: n-1
area: 1 - C% as a decimal…divide that value by 2
df: n-1
14
New cards
How do you find Z\* using calculator?
Inverse norm distribution
area (Central): C% as a decimal
mean: 0
SD: 1
area (Central): C% as a decimal
mean: 0
SD: 1
15
New cards
paired t-test
sample comes from