Statistics: Chapter 7 - Hypothesis Testing

Question 1

What is H0?

Answer 1

Null hypothesis.

Question 2

What is H1?

Answer 2

Alternative hypothesis.

Question 3

Null hypothesis signs:

Answer 3

=.

Question 4

One-tailed hypothesis signs:

Answer 4

<, >.

Question 5

Two-tailed hypothesis signs:

Answer 5

≠.

Question 6

What is the significance level?

Answer 6

Strength of evidence that must be in a sample.
(e.g. 1%, 5%, 10%).

Question 7

Significance level in a:
-One-tailed test:
-Two-tailed test:

Answer 7

-Whole.
-Half.

Question 8

What is a critical region?

Answer 8

The values for which you would reject the null hypothesis (H0).

Question 9

What is a critical value?

Answer 9

The first value to fall inside the critical region.

Question 10

Find the critical region in a one-tailed test (p < …):

Answer 10

X ~ B (n, p)
H0: p = …
H1: p < …
P (X ≤ CV) < SL
CR: X ≤ CV

Question 11

Find the critical region in a one-tailed test (p > …):

Answer 11

X ~ B (n, p)
H0: p = …
H1: p > …
P (X ≥ CV) < SL
1 - P (X ≤ (CV - 1)) < SL
1 - SL < P (X ≤ (CV - 1))
CR: X ≥ CV

Question 12

What is the actual significance level?

Answer 12

P (Critical Region)

Question 13

Find the critical region in a two-tailed test (p ≠ …):

Answer 13

Use both.

Question 14

What is the difference for significance level when comparing one-tailed tests and two-tailed tests?

Answer 14

One-Tailed Test: Significance Level.
Two-Tailed Test: Significance Level / 2.

Question 15

If Probability > Significance Level,

Answer 15

Accept H0.

Question 16

If Probability < Significance Level,

Answer 16

Reject H0.

Question 17

If Observed Value > Significance Level,

Answer 17

Reject H0.

Question 18

If Observed Value < Significance Level,

Answer 18

Accept H0.

Question 19

Why is a binomial distribution used?

Answer 19

-Independent trials.
-Only two outcomes (pass or fail).