All Flashcards
What are the differences between the 10% condition and random assignment in the context of independence for two-sample z-intervals?
10% Condition: Population size is at least 10 times the sample size. | Random Assignment: Used in experiments to ensure independence between treatment groups.
What are the differences between a point estimate and a confidence interval?
Point Estimate: A single value estimate of a population parameter. | Confidence Interval: A range of values likely to contain the population parameter.
What are the differences between successes and failures in the context of the large counts condition?
Successes: The number of observations that meet a certain criteria. | Failures: The number of observations that do not meet a certain criteria.
What are the differences between p̂1 and p̂2 in the context of two sample z-intervals?
p̂1: The sample proportion for group 1. | p̂2: The sample proportion for group 2.
What are the differences between a Z-test and a Z-interval?
Z-test: Used to test a hypothesis about a population parameter. | Z-interval: Used to estimate a population parameter with a certain level of confidence.
What is the formula for the standard error (SE) in a two-sample z-interval?
SE = √(p̂1(1-p̂1)/n1 + p̂2(1-p̂2)/n2)
What is the formula for a two-sample z-interval?
(p̂1 - p̂2) ± z* * √(p̂1(1-p̂1)/n1 + p̂2(1-p̂2)/n2)
How do you calculate the point estimate for the difference of two proportions?
p̂1 - p̂2
What is the formula for the lower bound of a two-sample z-interval?
(p̂1 - p̂2) - z* * √(p̂1(1-p̂1)/n1 + p̂2(1-p̂2)/n2)
What is the formula for the upper bound of a two-sample z-interval?
(p̂1 - p̂2) + z* * √(p̂1(1-p̂1)/n1 + p̂2(1-p̂2)/n2)
What is a two-sample z-interval?
A confidence interval used to estimate the difference between two population proportions for a categorical variable.
Define point estimate in the context of two-sample z-intervals.
The difference between the two sample proportions: p̂1 - p̂2.
What is the margin of error in a two-sample z-interval?
The 'buffer zone' around the point estimate, calculated using the critical value (z-score) and standard error.
Define standard error (SE) in the context of two-sample z-intervals.
A measure of the variability of the difference between two sample proportions.
What does it mean if a two-sample z-interval contains 0?
It suggests there might not be a significant difference between the two population proportions.