1 samp tests (ch 9 and 10) Flashcards
What does a “significance level of .02” mean?
set alpha= .02 and reject only below that
What does statistically significant mean?
When you’re p value is below alpha, it is statistically significant. It was SO WEIRD, we rejected our initial hypothesis.
Can you accept a null hypothesis? Can you say “keep the null?”
Never accept a Ho, don’t keep the Null. simply “FAIL TO REJECT THE NULL”
Do you use p-hat or p-null when you check the success/failure condition?
use p null
How do you write conclusion if you reject?
With such a low p-value, I reject the null hypothesis. There is strong evidence that {the proportion of candles that smell like cheeseburgers) has changed.
If you are doing a 2 tailed test with alpha=.05.. What confidence interval goes with that?
95% confidence interval (there is .025 in each tail)
How do you write conclusion if you fail to reject?
With a p-value this high. I fail to reject the null. There is not enough evidence to say that (more students like eggnog now).
What is a p-value?
It is the probability of getting your sample statistic randomly if the null were true. Basically, how likely is it that your sample statistic came from the Null Model.
One tail or 2 tailed? How do you tell?
if it just says “changed” or “different”.. Then it is 2 sided.. DOUBLE THE P VALUE at ent! If it says “more” “less than” “greater” etc.. Then it is just one sided..
Can you prove a null hypothesis true?
NO.. We just fail to reject it
Do you use p-hat or p-null when you calculate your standard deviation of null model?
use p-null..
Why would conclusions drawn from confidence intervals differ from those drawn from hypothesis tests?
Could be a one tail 2 tail mix up OR?. Think about how the SE is calculated. With confidence intervals, we use information from the sample (sd of sample or p-hat from sample), with hypothesis tests we use infromation from assumed parameters, the NULL (null s.d. or null p)
What are the 3 steps in hypothesis testing AFTER YOU CHECK CONDITIONS?
- Make your Ho and Ha 2. Make a Null Model (centered at null, use your Ho as center and in calculations, use your sample size).. This is a sampling distribution for the statistics if the null were true. 3. THINK then CHECK. use your statistic (p-hat, x-bar, phat1-phat2, xbar1-xbar2) to calculate your test statistic and then p value
What does PHANTOMSA stand for?
Parameter, Hypothesis, Assumptions, Name the test, Test Statistic, Obtain P VALUE, Make Decision, State conclusion in context, ANSWER QUESTION
what is a test statistic?
a t or z score (or chi squared) that you use to find a p value. It is how many s.d. away your statistic is away from the null parameter.