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.
According to the Central Limit Theorem, as sample size (n) increases, what happens to the standard error of the mean (SEM)?
SEM decreases
If the confidence interval for the difference in proportions includes zero, what does it suggest about the two proportions?
It suggests that there is no statistically significant difference between the proportions of the two groups.
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
How is the significance level (α) related to the probability of making a Type I error in hypothesis testing?
The significance level is the probability of making a Type I error.
"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
How is the p-value interpreted in hypothesis testing for proportions?
The p-value represents the probability of obtaining a sample proportion as extreme as the observed proportion, assuming the null hypothesis is true.
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
True or False: A larger sample size leads to a smaller margin of error in a confidence interval.
True
free q
good job
Null hypothesis means:
Alternative hypothesis means:
Equal to (Not different than) !
Different than!
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!!!
What makes a test NOT statistically significant
if the p-value is greater than alpha
What is the name for the probability of observing a sample result as extreme as, or more extreme than, the one obtained if the null hypothesis is true?
P-value.