Hypothesis Testing

Question 1

Hypothesis Testing

Answer 1

Test theory about population parameter

Question 2

Two types of hypotheses

Answer 2

Null hypotheses and Alternative hypotheses

Question 3

Chi-Square Tests

Answer 3

Goodness-of-fit Test and Contingency Tables

Question 4

Goodness-of-fit Test

Answer 4

A way to determine if a given population has a specified theoretical distribution by comparing the frequencies of the original sample to the expected frequencies of a hypothesized distribution.

Question 5

Null hypothesis for goodness-of-fit test

Answer 5

Hypothesized distribution is a good fit for the sample

Question 6

k in goodness-of-fit test formula

Answer 6

of classes

Question 7

df in goodness-of-fit test

Answer 7

df=k-1

Question 8

For goodness-of-fit test, need each ei to do what? If this requirement isn’t met, what can you do?

Answer 8

Need each ei ≥ 5, else combine adjacent classes

Question 9

If we use the sample to estimate the relevant parameters of the distribution, then

Answer 9

df = # of classes - 1 - # of parameters estimated

Question 10

Contingency Tables

Answer 10

To test the independence of two variables of classification

Question 11

Null hypothesis in Contingency Tables Test

Answer 11

Two factors are independent

Question 12

If A and B were independent, we would expect P(A ∏ B) =

Answer 12

P(A)P(B)

Question 13

Contingency tables test degrees of freedom =

Answer 13

(# rows - 1)(# columns - 1)

Question 14

Statistical significance of association does not equal

Answer 14

a practical significance

Question 15

A large chi squared value indicates what? What does it not indicate?

Answer 15

Indicates strong evidence of association, but not necessarily a strong association.