Summary STA 2000 Fundamentals of Hypothesis Testing

Chapter 9

Fundamentals of
Hypothesis Testing:
One-Sample Tests

, Objectives

In this chapter, you learn:
n The basic principles of hypothesis testing.
n How to use hypothesis testing to test a mean or
proportion.
n To identify the assumptions of each hypothesis-testing
procedure, how to evaluate them, and the
consequences if they are seriously violated.
n The pitfalls & ethical issues involved in hypothesis.
testing.

, What is a Hypothesis?
DCOVA
n A hypothesis is a claim
(assertion) about a
population parameter:

n population mean:
Example: The mean monthly cell phone bill
in this city is μ = $42.
n population proportion:
Example: The proportion of adults in this

, The Null Hypothesis, H0
DCOVA
n States the claim or assertion to be tested.
Example: The mean diameter of a manufactured
bolt is 30mm ( H 0 : μ = 30)

n Is always about a population parameter,
not about a sample statistic .


H 0 : μ = 30 H 0 : X = 30