hypothesis testing

Question 1

what is a hypothesis

Answer 1

a statement about a population parameter

Question 2

what is the null hypothesis

Answer 2

H0 = the hypothesis we assume is correct

Question 3

what is the alternative hypothesis

Answer 3

H1 = if the assisting is wrong

Question 4

what is the significance level

Answer 4

the threshold for which the H0 must be below for it to be rejected and H1 to be accepted (this is a decimal eg 5% sig level = 0.05)

Question 5

what are the two types of hypothesis testing

Answer 5

• one-tailed
• two-tailed

Question 6

describe one-tailed testing

Answer 6

• when H0 : p = …
• when H1 : p > ….. or P < …..

Question 7

describe two-tailed testing

Answer 7

• when H0 : p = …..
• when H1 : p != ……

Question 8

state the steps in answering a hypothesis testing question

Answer 8

• state the test statistic = let X be the number or …. in ….
• H0 : p ….
• H1 : p …..
• sig level: …..
• X ~ B(N, p)
• find the probability suggested in the question
• if P < sig level = reject H0 and accept H1
• if P > sig level = accept H0 as insufficient evidence
• explain it in context = there is in/sufficient evidence to suggest …….

Question 9

what is the critical region

Answer 9

the region of the probability distribution that would cause you to reject H0

Question 10

what is a critical value

Answer 10

the first value within the critical region

Question 11

what is the acceptance region

Answer 11

the region of probability where we accept H0

Question 12

what is the actual significance level

Answer 12

the probability as a % when we reject H0 - right at the critical value

Question 13

when P(X >= x) when do we look at

Answer 13

1 - P(X <= x-1)