Summary Stats 188 chapter 9 notes

CHAPTER 9: FUNDAMENTALS OF HYPOTHESIS TESTING -> ONE-
SAMPLE TESTS

A hypothesis = a claim ( assertion ) about a population parameter


population mean lust


Example : The
average monthly allowance of tertiary students in the Western Cape is R 4500


in =
4500




Population Proportion ( Ti )


Example : The proportion of tertiary students in the Western Cape that own a car is 251 .




Ti -

_
0.25




FUNDAMENTALS OF HYPOTHESIS TESTING


Hypothesis testing analyses differences between a sample statistic and the results one would expect if a null



hypothesis was true .




STEPS FOR HYPOTHESIS TESTING :

'

State a straightforward claim about the population mean (M ) .




1 This claim referred to as the Null
hypothesis (1-10)
=




2- State exclusive claim to the
a
mutually null hypothesis .




hypothesis ( th )
>
This claim = referred to as the alternative




3.
Begin with the assumption that Ho is true .




4. to see if it
Examine the sample statistics better supports Ho or Hi .

, °
THE NULL HYPOTHESIS 1-10 : Assumes the status -940 Case .




I States the claim or assertion to be validated

1 the belief
Represents current in a situation




Example : An airline advertised that its trip from Cape Town to
Johannesburg is 110 mins on
average

Ho : it = 110




THE :
ALTERNATIVE Challenges
•

HYPOTHESIS Hi the status quo Serrano .




'
The of null
opposite the hypothesis
1
May or
may not be proven

1
generally the hypothesis that the researcher intends to improve .




Examples : The average travel time of an airline from Cape Town to Johannesburg is
longer than 110 mins


Hi : it 110




A pair of null & alternative hypotheses are
always mutually exclusive only one of them can be true .




'
they are also
collectively exhaustive




The null hypothesis always refers to a population parameter such as in and not a sample statistic


such as .