S2 - Binomial Distribution

Question 1

What do you need to include at the start of a question about binomial distribution?

Answer 1

• Define X (ie. X = nº…..)
• X ~ B(n, p)

Question 2

What do you do if you have a probability of P(X ≥ a) = 0.4

Answer 2

Use InvB
OR
Use distribution setting on calculator, have a random x value and change the 0.4 value once graph has been made

Question 3

What can discrete distribution be described as?

Answer 3

Binomial

Question 4

For a one tailed hypothesis test, complete the following:
H₀: p …. 0.3
H₁: p …. 0.3

Answer 4

H₀: p = 0.3
H₁: p < 0.3
OR
H₀: p = 0.3
H₁: p > 0.3

Question 5

For a two tailed hypothesis test, complete the following:
H₀: p …. 0.3
H₁: p …. 0.3

Answer 5

H₀: p = 0.3
H₁: p ≠ 0.3

Question 6

What part of the binomial picture would H₁: p < 0.3 be?

Answer 6

One tailed on the left hand end

Question 7

What part of the binomial picture would H₁: p > 0.3 be?

Answer 7

One tailed on the right hand end

Question 8

What part of the binomial picture would H₁: p ≠ 0.3 be?

Answer 8

Two tailed with significance evenly split each end