L10

Question 1

If the significance level is .1 what is the probability of a type one error

Answer 1

.1 chance of rejecting h0 even if it is true

Question 2

When should you use the t distribution

Answer 2

When the standard deviation if the population is unknoen

Question 3

When the p value is greater than the significance level you reject the null hypothesis

Answer 3

No, p < a -> reject null

Question 4

If test statistic is greater than the critical value reject the null hypothesis

Answer 4

Kind of, |test statistic|>|critical value|->reject null

Question 5

What is the difference between critical and p value

Answer 5

The critical values are the symmetric z value that whose inner part contains the confidence level while the p value is the probability of getting your number if the null hypothesis is right

Question 6

What is the difference between the p value approach and the critical value aproach

Answer 6

Using the critical value aproach you identify a rejection region beyond the critical value za and if z falls within the rejection region the null hypothesis is rejected. In the p value approach you find out what the p value of z is and compare it to the significance

Question 7

What are the difficulties with the t table

Answer 7

It does only show the probability for one aided tests on on the positive side so you have to use symmetry if you want tk calculate the probability of something below and you have to look for a/2 for two tailed tests

Question 8

What is p hacking in research

Answer 8

To test s bunch of hypotheses until you find something significant which is bound to happen

Question 9

What is the downside of hypothesis testing

Answer 9

It gives a binary answer to a fundamentally probabilistic question and it can be argued that the uncertainty should be comunicated