Hypothesis Testing

Question 1

Describe the null hypothesis.

Answer 1

• represented by H0
• a statment about a population parameter that you assume to be true
• is always an equality

Question 2

Describe the alternative hypothesis.

Answer 2

• represented by H1
• a statment that directly contradicts the null hypothesis by stating the actual value of the population parameter is more, less than or different to the null hypothesis

Question 3

What is a one tailed test?

Answer 3

it’s when the alternative hypothesis has a clear direction againsts the null hypothesis (< or >)

Question 4

What is a two tailed test?

Answer 4

it’s when the alternative hypothesis has a unclear direction againsts the null hypothesis (uses the word difference)

Question 5

What is the signifiance level?

Answer 5

the probability of incorrectly rejecting the null hypothesis

Question 6

What do you have to write before your calculations for a one tailed test?

Answer 6

• X is amount of…
• p is the probability of…
• X~B (n,p)
• H0: p=n H1: p<or> n</or>
• Assume the null hypothesis is true, therefore:
• X~B (n,p)
• P(X< or > (depending on H) n) = answer

the first X~B (n,p) n is a number, second n and p are numbers

Question 7

What could the results of the one tailed test show?

Answer 7

• show that the answer to P(X< or > n) is less than the significance level so you can reject the null hypothesis because the results are significant
• show that the answer to P(X< or > n) is more than the significance level so you fail to reject the null hypothesisbecause the results aren’t significant