CHAPTER 7 HYPOTHESIS Flashcards
What is a hypothesis?
A statement made about the value of a population parameter.
What is the null hypothesis?
The default position that is assumed to be true.
What is the alternative hypothesis?
This hypothesis tells us about the parameter if the null hypothesis is incorrect.
What is the test statistic?
Result of the experiment that we are using, which we use to test H0.
(observed amount of something that happens).
What is a critical value?
First value that falls within the critical region.
What is a critical region?
If test statistic falls within this area reject h0.
What is a contextual example of the null hypothesis?
-For rolling a dice and getting a 6 the null hypothesis = 1/6
What is a contextual example of the alternative hypothesis?
-For rolling a dice that getting a 6 is not equal to 1/6
What is important when being asked questions about the test statistics and null hypothesis?
-Ensure that they are in context to the question.
What would the alternative hypothesis be if something is biased?
- it would be greater than the default position.
What is the relationship between h0 and h1?
If h0 is not correct then h1 is correct.
What is the test statistic detonated as?
capital X
What is the difference between a one-tailed test and two-tailed test?
A one tailed test H1 is not equal to ho
Two tailed test h1 is greater than or less than h0
In a two tailed test how do you know which side of the graph to look at?
If it is greater than h0 look at right hand side
If it is less than h0 is is less than right hand side.
How does the significance level change when you have a two tailed test?
Divide the significance level and put it on either side.
What does binomial CD calculate?
binomial CD, P less than or equaled to x for X varies B(n,)
What is the point of a significance level?
It restricts the region to show if there is enough random chance for the test statistic to have naturally happened with the null hypothesis.
Why might a binomial distribution be suitable?
- If there are 2 distinct outcomes.
- If there is a constant probability.
- Independence
- Fixed number of trials.