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 .
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 .
