Binomial: Test For Significance

Question 1

What is the first stage in answering a binomial significance question?

Answer 1

Define the statistic

Question 2

What is the second stage in answering a binomial significance question?

Answer 2

State the hypothesis and let p =

Question 3

What is the third stage in answering a binomial significance question?

Answer 3

Testing the result

Question 4

What is the first stage in answering a binomial significance question?

Answer 4

write a conclusion

Question 5

What are the first statements to make when defining the statistic?

Answer 5

X = number of …

e.g. X = number of days with no trace of rain

let p be the probability of…

Question 6

What is the second statement to make when defining the test statistic?

Answer 6

X~B(n,p)

Question 7

What is n

Answer 7

Sample size e.g. number of people or days

Question 8

What is p?

Answer 8

The given probability for H₀

Question 9

What will the question claim about p?

Answer 9

That it is incorrect

Question 10

What is H₀?

Answer 10

Null hypothesis (what the question is suggesting is wrong)

Question 11

What is H₁?

Question 12

In a 1-tailed test how can p be written?

Answer 12

As p > … or p < …

Question 13

In a 2-tailed test how can p be written?

Answer 13

p ≠ …

Question 14

If the test statistic is ‘weird small’ find…

Answer 14

p ( x ≤ … )

Question 15

If the test statistic is ‘weird big’ find…

Answer 15

p ( x ≥ … )

= 1 -p ( x ≤ …-1 )

Question 16

When testing the result how is the significance level found?

Answer 16

Using the calculator combination

menu - 7 - binomial CD - 2

Question 17

In a 1-tailed test what significance level is ‘weird’ less than?

Answer 17

The significance level given in the question

Question 18

In a 2-tailed test what significance level is the ‘weird’ less than…

Answer 18

½ the significance level given in the question

Question 19

When writing a conclusion what is the first statement?

Answer 19

Compare to the significance level

Question 20

When writing a conclusion what is the second statement?

Answer 20

Reject or fail to reject H₀

Question 21

When do you reject H₀?

Answer 21

When the value is in the critical region

Question 22

When do you fail to reject H₀?

Answer 22

When the value is outside the critical region

Question 23

What is the final statement in a conclusion?

Answer 23

Context statement

Question 24

What is the calculator combination to calculate the probability?

Answer 24

Menu - 7 - Binomial CD - 2