8 Hypothesis Testing

Question 1

Hypothesis test

Answer 1

Statement about the value of a population.

Question 2

Significance Level and Confidence Level

Answer 2

Significance level is the statistical error rate (e.g. 5%)

The confidence level is 1 Less the Significance level

Question 3

Hypothesis Testing Procedure

Answer 3

1) State the hypothesis
2) Select a test statistic
3) Specify the level of signifcance
4) State the decision rule for the hypothesis
5) Collect the sample and calculate statistics
6) Make a decision about the hypothesis
7) Make a decision based on the test results

Question 4

Two-Tailed Test

Answer 4

Use when testing to see if a population parameter is different from a specified value.

Question 5

One-tailed test

Answer 5

Use when testing to see if a parameter is above or below a specified value

Question 6

Z Statistic

Answer 6

(\bar(x) - \mu)/(\sigma / (n^.5)

Question 7

t-statistic

Answer 7

(\bar(x) - \mu)/(s/ (n^.5)

Question 8

Type 1 error

Answer 8

Rejecting a true null hypothesis

Question 9

Type 2 error

Answer 9

Failing to reject the false null hypothesis

Question 10

p-value

Answer 10

The smallest level of significance at which the null can be rejected

Question 11

Types of hypothesis tests: Value of a population mean

Answer 11

Use a t-test or z-test if sample size is large enough.

Question 12

Types of hypothesis tests: Equality of two population means

Answer 12

Use a t-test

Question 13

Types of hypothesis tests: Population Variance

Answer 13

Chi-square test

Question 14

Types of hypothesis tests: Two population variances

Answer 14

F-test

Question 15

Difference between means: Test Statistic

Answer 15

[\bar(x1) - \bar(x2)] - [\mu(x1) - \mu(x2)]/[s^2/n1 - s^2/n2]^.5

Question 16

Chi-square test statistic

Answer 16

X^2 = (n-1)S/\sigma^2

Question 17

F-test statistic

Answer 17

F = S1^2/S2^2
df are n -1

Question 18

Parametric

Answer 18

Based on assumptions about population distributions and population parameters

Question 19

Non-parametric tests

Answer 19

Assumptions about the population distribution and test things other than parameter values