..
Hypothesis Testing
with One Sample
,….
Introduction to
Hypothesis
Testing
, Hypothesis Tests
A hypothesis test is a process that uses sample
statistics to test a claim about the value of a
population parameter.
If a manufacturer of rechargeable batteries
claims that the batteries they produce are good
for an average of at least 1,000 charges, a
sample would be taken to test this claim.
A verbal statement, or claim, about a population
parameter is called a statistical hypothesis.
To test the average of 1000 hours, a pair of
hypotheses are stated – one that represents the
claim and the other, its complement. When one
of these hypotheses is false, the other must be
true. Biostatistics I (BIElementary
Larson & Farber, 210) Statistics: Picturing the World, 3e 3
, Stating a Hypothesis
“H subzero” or “H naught”
A null hypothesis H0 is a statistical hypothesis that
contains a statement of equality such as , =, or .
“H sub-a”
A alternative hypothesis Ha is the complement of the
null hypothesis. It is a statement that must be true if
H0 is false and contains a statement of inequality such
as >, , or <.
To write the null and alternative hypotheses,
translate the claim made about the population
parameter from a verbal statement to a
mathematical statement.
Biostatistics I (BI 210)
Larson & Farber, Elementary Statistics: Picturing the World, 3e 4
Hypothesis Testing
with One Sample
,….
Introduction to
Hypothesis
Testing
, Hypothesis Tests
A hypothesis test is a process that uses sample
statistics to test a claim about the value of a
population parameter.
If a manufacturer of rechargeable batteries
claims that the batteries they produce are good
for an average of at least 1,000 charges, a
sample would be taken to test this claim.
A verbal statement, or claim, about a population
parameter is called a statistical hypothesis.
To test the average of 1000 hours, a pair of
hypotheses are stated – one that represents the
claim and the other, its complement. When one
of these hypotheses is false, the other must be
true. Biostatistics I (BIElementary
Larson & Farber, 210) Statistics: Picturing the World, 3e 3
, Stating a Hypothesis
“H subzero” or “H naught”
A null hypothesis H0 is a statistical hypothesis that
contains a statement of equality such as , =, or .
“H sub-a”
A alternative hypothesis Ha is the complement of the
null hypothesis. It is a statement that must be true if
H0 is false and contains a statement of inequality such
as >, , or <.
To write the null and alternative hypotheses,
translate the claim made about the population
parameter from a verbal statement to a
mathematical statement.
Biostatistics I (BI 210)
Larson & Farber, Elementary Statistics: Picturing the World, 3e 4
