Hypothesis test concept question

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Ready to use

3 years, 8 months ago

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Christian Lawson-Perfect 2 years, 6 months ago

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Ruth Hand 3 years, 8 months ago

Gave some feedback: Ready to use

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Ruth Hand 4 years, 1 month ago

Created this as a copy of t-test concept.

Name	Status	Author	Last Modified
Hypothesis test concept question	Ready to use	Ruth Hand	16/01/2023 14:11
Hypothesis testing: write a hypothesis	Ready to use	Ruth Hand	16/01/2023 14:10

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Question statement

You are investigating the effect of a {treatment[a]} on {alterperformance[a]}. You compare the means of your control and experimental groups (with {n} in each sample, and {df} degrees of freedom). You use a simple independent means t-test at the $\alpha$ =0.05 level, and calculate a p-value of {p}.

Please mark each of the statements below as "true" or "false". "False" means that the statement does not follow logically from the above premises.

Please note all/several/none of these statements may be true.

Give any introductory information the student needs.

			Name	Type	Generated Value

t1	integer	1
f1	number	0
t2	integer	0
f2	number	1
t3	integer	1
f3	number	0

			Name	Type	Generated Value

alterperformance	list	List of 11 items
treatment	list	List of 11 items
significant	string	not significant
sig	integer	3
tails	integer	1
a	integer	10

			Name	Type	Generated Value

n	integer	70
t	string	need formula for this
p	number	0.0091
df	integer	68

			Name	Type	Generated Value

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Name

Data type

Value

xxxxxxxxxx
 
if(p<0.05,1,0)

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Generated value: `integer`

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You reject the null hypthesis.

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Advice

PART A, PART D, PART E, PART F

These are really all asking the same thing. You reject the null hypthesis and accept the alternative hypothesis if the results are significant.

PART B

The results are significant if p< $\alpha$ , in this case if p<0.05.

PART C

This is highly unlikely to be true (unless the data sets are equal).

PART G

You never accept the null hypothesis. If there is no evidence to reject it then, then we do not reject it, but remember the test was checking for evidence AGAINT the null, rather to evidence FOR the null. It is more like acquitting a defendant when there is insufficient evidence to secure a conviction.

PART H

We were asked for evidence at the 0.05 level, so this is the level we are considering statistically significant. A p-value less than 0.1 is usually considered a small amount of evidence, so if p is between 0.05 and 0.1 we might claim there is 'some evidence but it is not statistically significant'.

PART I

A p-value of less than 0.01 is very strong evidence.

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This question is used in the following exams:

Hypothesis Testing by Ruth Hand in MASH Bath: Moodle quizzes and TS.
MA5636 week 4 by Ben Parker in Ben's workspace.
MA5636 Week 5 by Ben Parker in Ben's workspace.

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Christian Lawson-Perfect 2 years, 6 months ago

Ruth Hand 3 years, 8 months ago

Ruth Hand 4 years, 1 month ago

Error in variable testing condition

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Generated value: `integer`

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Hypothesis test concept question

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 6 months ago

Ruth Hand 3 years, 8 months ago

Ruth Hand 4 years, 1 month ago

Error in variable testing condition

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Warning

Generated value: integer

Parts

Choose one from a list

Advanced settings

Generated value: `integer`