Definitions
What is Hypothesis testing?
a procedure based on sample evidence and probability used to examine a statement about the parameter (mean)
When do you reject the null hypothesis?
If the p-value is less than the level of significance
What is an error?
When we reject or accept a null hypothesis with insignificant or incorrect evidence.
What is the formula used to calculate the test statistic
(Show on Board)
What is R
A software used in statistics
What is relationship of the null hypothesis to the mean?
What is the relationship of the alternative hypothesis to the mean?
"not different than" Null=Mean
"different than" greater or less than the mean
When do you not reject the null hypothesis?
If the p value is greater than the level of significance
A Type 1 Error is
Rejecting the null hypothesis when it is actually true.
What value do we use for the mean?
The given value for the mean
The mean score on the SAT math reasoning exam is 516. A test preperation company states that the mean score of students who take its course is higher than 516.
What is the null and alternative hypothesis
Null = 516
Alternative = mean is greater than 516
"is not equal to"
The level of significance is 0.5 the p value is 0.2 Do you accept or reject the null hypothesis.
reject the null hypothesis
A Type 2 Error is
Failing to Rejecting the null hypothesis when it is false.
What is the default value for alpha?
0.05
What table do we use to calculate the p-value
Z or T depending on the method
How many steps are there in hypothesis testing and what are they?
1. Define the hypothesis
2. Determine the level of significance
3. Calculate the test statistic
4. Calculate the p-value
5. Accept or reject the null hypothesis
If a jar of jelly is labled to hold 32 ounces federal law requires that it does indeed hold at LEAST 32 ounces, A consumer feels that they are being shorted. State the null and alternative hypothesis
Null: There are exactly 32 ounces
Alternative: There are more than 32 Ounces
If there is a claim that the weight is 32 ounces of jam, and there is not actually 32 ounces do we reject or accept the null?
Accept the null
What makes a test statistically significant
if the p-value is less than alpha
Show me how to calculate a Test statistic using any method possible!
Good job!!
Find the p-value for the test statistic 1.7073
0.122
Null hypothesis means:
Alternative hypothesis means:
Equal to (Not different than) !
Different than!
DO NOT FORGET THIS
If there is a claim that the weight is 32 ounces of jam, and there is 32 ounces do we reject or accept the null?
Accept the null!!!
if the p-value is greater than alpha
Do you think you will ace this next exam????
YES