Hypothesis Testing – z test - [Statistics 2].

Question 1

What equation can we use to test the normal distribution? (Test Statistic).

z = …

Answer 1

z = (x̄ - μ) / (σ /√n).

In the Formula Booklet!

Question 2

What are the steps for a hypothesis z-test?

Answer 2

1. Let X be…
2. State the hypothesis -
   H₀: μ = …
   H₁: μ >/</≠ …
3. Test Statistic: z = (x̄ - μ) / (σ /√n).
4. Find the critical value(s) from the Normal Distribution using InvN: σ=1 and μ=0.
5. Conclude in context of the question (Accept or Reject H₀).

Question 3

For a left tail (1-tail) test, where is the rejection region?

Answer 3

Left section of the Normal Distribution Curve.

Question 4

For a right tail (1-tail) test, where is the rejection region?

Answer 4

Right section of the Normal Distribution Curve.

Question 5

For 2-tail test, where is the rejection region?

Answer 5

Far left and far right sections of the Normal Distribution Curve.

Question 6

If the Test Statistic is less than the Critical Value for a right tail (1-tail) test, do you accept or reject H₀?

Answer 6

Accept H₀.

Question 7

If the Test Statistic is more than the Critical Value for a right tail (1-tail) test, do you accept or reject H₀?

Answer 7

Reject H₀.

Question 8

If the Test Statistic is less than the Critical Value for a left tail (1-tail) test, do you accept or reject H₀?

Answer 8

Reject H₀.

Question 9

If the Test Statistic is more than the Critical Value for a left tail (1-tail) test, do you accept or reject H₀?

Answer 9

Accept H₀.

Question 10

If the Test Statistic is in between the Critical Values for a 2-tail test, do you accept or reject H₀?

Answer 10

Accept H₀.

Question 11

If the Test Statistic is outside the Critical Values for a 2-tail test, do you accept or reject H₀?

Answer 11

Reject H₀.