Ch6 +Ch 7 Statistical Distribution + Hypothesis testing

Question 1

Conditions for binomial distibution

Answer 1

1. fixed number of trials
2. two outcomes- success or failure
3. fixed probability
4. trials are independent to one another

Question 2

Binomial distribution formula

Answer 2

X~B(number trials, probability)

Question 3

One tailed test

Answer 3

Alternative hypothesis H1: P<

If probability is higher than significance level not enough evidence to reject null hypothesis

Find critical value then if doesn’t lie in it, accept H0

Question 4

Two tail test

Answer 4

Alternative hypothesis: H1:p ≠

If probability is higher than 1/2 significance level, not enough evidence to reject null hypothesis

Question 5

Critical value

Answer 5

First value in critical region- don’t accept null hypothesis

when P(X≥x) is smaller than significance level