Inference
Definition
Inference involves drawing conclusions or making predictions about a population based on sample data. It allows us to make generalizations and statements about a larger group using information from a smaller subset.
Analogy
Imagine you have a bag of colored candies, but you can only see a few candies at random. By looking at those candies, you can infer things about the entire bag - like how many red candies there might be or what percentage are green.
Related terms
Sampling Distribution: A sampling distribution is the distribution of sample statistics (e.g., means) obtained from multiple samples taken from the same population.
Confidence Interval: A confidence interval is an estimate range within which we believe the true population parameter lies with a certain level of confidence.
Hypothesis Testing: Hypothesis testing is a statistical method used to make decisions about whether there is enough evidence to support or reject a claim about a population parameter.
"Inference" appears in:
Study guides (1)
Additional resources (3)
Practice Questions (4)
When constructing a confidence interval for the difference in two population means, which condition is NOT necessary for conducting the inference?
One of the conditions for inference in a two-sample t-test is:
Suppose we have a sampling distribution with n = 100 and p = 0.6. Which condition is satisfied to use the normal curve for inference?
Suppose we have a sampling distribution with n = 200 and p = 0.2. Which condition is satisfied to use the normal curve for inference?
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