Stats 1 Chapter 7 - Hypothesis Testing

Question 1

Hypothesis testing (in a nutshell)

Answer 1

• we have some hypothesis we wish to see if true so…
• we collect some sample data and…
• if that data is sufficiently unlikely to have emerged ‘just by chance’ then H₁ is correct

Question 2

Hypothesis

Answer 2

statement about the value of a purpose parameter

Question 3

Test statistic (X)

Answer 3

the result of the experiment, or the statistic that is calculated from the example

Question 4

Null Hypothesis (H₀)

Answer 4

the hypothesis you assume is correct

Question 5

Alternative Hypothesis (H₁)

Answer 5

tells you about the parameter if your assumption is shown to be wrong

Question 6

Critical region

Answer 6

values where you reject H₀

Question 7

Critical value

Answer 7

the values on the boundary of the critical region

Question 8

One-tailed testing

Answer 8

• define test statistic (X) and probability (p)
• write null and alternative hypotheses
• determine probability of X or more extreme assuming null
• reject H₀ or not? - put in context of question

Question 9

Two-tailed testing

Answer 9

same as doing two one-tailed tests but we half the significance level in either tail

e.g. 5% two-tailed test is equivalent to doing a 2.5% level lower and upper tail test

• uses H₁: p≠
• X~B (…,p)