S6. Tests for Statistical Hypotheses

Question 1

Define hypothesis

Answer 1

A statement that some population parameter is equal to a particular value or lies in some set of values.

Question 2

What are the Null and alternative hypotheses?

Answer 2

Null hypothesis (H₀) is the hypothesis of interest.

Alternative hypothesis (H₁) is its negation.

E.g. Average grade was 66. H₀: μ = 66, H₁: μ ≠ 66

Question 3

What are the two types of errors of hypothesis testing?

Answer 3

• Type 1 errors*: rejecting the Null hypothesis when in fact it is true.
• Type 2 errors*: failing to reject the Null hypothesis when in fact is is false.

Question 4

5 steps of running a hypothesis test

Answer 4

Question 5

Tests regarding a single mean

What is the population parameter and estimator for the standard error of sampling distribution?

Answer 5

Question 6

Tests regarding a single proportion

What is the population parameter and estimator for the standard error of sampling distribution?

Answer 6

Question 7

Tests regarding the difference in two independent means

What is the population parameter and estimator for the standard error of sampling distribution?

Answer 7

Question 8

Tests regarding the difference in two independent proportions

What is the population parameter and estimator for the standard error of sampling distribution?

Answer 8

Question 9

Tests regarding the difference in two dependent means (paired data)

What is the population parameter and estimator for the standard error of sampling distribution?

Answer 9

Question 10

Tests regarding the difference in two dependent proportions (paired data)

What is the population parameter and estimator for the standard error of sampling distribution?

Answer 10