General Statistics
Statistical Inference
Summary of Statistical Hypothesis testing

Summary of Statistical Hypothesis testing for Chapter 7.  - click on images to see larger pictures

Hypothesis Testing: Comparing the sample mean, , with the population mean, .
 
We Wish to Test Whether Assumptions

Confidence Interval

Test Statistics Accept H0 if

( p-value: )

: Ha

: H0

sample size large (), and  known

Example

Reference Table

: Ha

: H0

sample size small (), and  is unknown

Estimate  from s

Example

Reference Table

Ha

: H0

sample size large (), and  known

Example

Reference Table

Ha

: H0

sample size small (), and  is unknown

Estimate  from s

Example

Reference Table

Ha

: H0

sample size large (), and  known

Example

Reference Table

Ha

: H0

sample size small (), and  is unknown

Estimate  from s

Example

Reference Table

Hypothesis Testing: Comparing the sample proportion,  with the population proportion.
 
We Wish to Test Whether Assumptions

Confidence Interval

Test Statistics Accept H0 if

( p-value: )

: Ha

:: H0

sample size large

 ()

Estimate 

Example

,

Reference Table

: Ha

: H0

sample size large

()

Estimate 

Example

,

Reference Table

: Ha

: H0

sample size large

()

Estimate 

Example

Reference Table

Sample size, n determination with specified accuracy (maximum error of estimate, E) with confidence interval of 
 
Parameter Sample Size formula

Example

Example (add example)