MS-DS Master of Data science MS-DS Master of Data science Statistical Inference Concepts Questions and Answers 2

Question 1

In hypothesis testing, what does a Type II error represent?

Accepted Answer

Failing to reject a false null hypothesis

Answer

A Type II error occurs when we fail to reject the null hypothesis even though it is actually false.

Question 2

What is the primary purpose of a confidence interval?

Accepted Answer

To provide a range of plausible values for a population parameter

Answer

A confidence interval gives a range of values within which the true population parameter is likely to fall based on sample data.

Question 3

Which condition must be satisfied for the Central Limit Theorem to apply to sample means?

Accepted Answer

The sample size must be sufficiently large regardless of population distribution

Answer

The Central Limit Theorem states that the sampling distribution of the mean approaches normality as sample size increases, regardless of the population distribution.

Question 4

What does the power of a statistical test measure?

Accepted Answer

The probability of correctly rejecting a false null hypothesis

Answer

Statistical power is the probability of correctly detecting an effect when one truly exists, calculated as 1 minus the Type II error rate.

Question 5

When constructing a likelihood ratio test, what are you comparing?

Accepted Answer

The likelihood under the null hypothesis to the likelihood under the alternative

Answer

A likelihood ratio test compares the maximized likelihood under the restricted null model to the maximized likelihood under the full alternative model.

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MS-DS Master of Data science Practice Test

MS-DS Master of Data science MS-DS Master of Data science Statistical Inference Concepts Questions and Answers 2