Hypothesis Testing

Question 1

What are the signs associated with null hypothesis?

Answer 1

= , ≤ , and ≥ .

That is, when the given hypothesis gives a value as equal to, less than or equal to, or greater than equal or equal to.

Question 2

What are the signs associated with the alternative hypothesis?

Answer 2

≠ , < , and >

Question 3

What signs associated with null hypothesis indicate which types of tails?

Answer 3

For null:

= : Two-tailed test

≤ : left tailed test

≥ : right tailed test

Question 4

What is the formula for Z for hypothesis testing with population standard deviation known?

Answer 4

Z = (X̄ - μ) ÷ (σ/√n)

σ = population standard deviation
n = sample number
X̄ = sample mean
μ = population mean

Question 5

What is the formula for Z for hypothesis testing with population standard deviation known?

Answer 5

Z = (X̄ - μ) ÷ (σ/√n)

σ = population standard deviation
n = sample number
X̄ = sample mean
μ = population mean

Question 6

What is the formula for test statistic (t) when population standard deviation is not known?

Answer 6

t = (X̄ - μ) ÷ (s/√n)

s = sample standard deviation