it is generally related to mathematics in which the definition of hypothesis is there and where this term is used. steps used in hypothesis testing and where to use it and also an example is there for clearance.
2. DEFINITION
Hypothesis testing is a method for testing a claim or
hypothesis about a parameter in a population,
using data measured in a sample.
3. Five stEPS:
Step 1 : State the hypotheses.
Step 2 : level of significance.
Step 3 : select the test statistic.
Step 4 : formulate the decision rule.
Step 5 : make a decision.
4. We begin by stating the value of a population
mean in a null hypothesis.
The null hypothesis, stated as the null, is a
statement about a population parameter, such as
the population mean, that is assumed to be true.
Step 1 : State the hypotheses.
5. To set the criteria for a decision, we state the level
of significance for a test.
Level of significance, or significance level, refers to
a criterion of judgment upon which a decision is
made regarding the value stated in a null
hypothesis.
Step 2 : level of significance
6. The test statistic is a mathematical formula that
allows researchers to determine the likelihood of
obtaining sample outcomes if the null hypothesis
were true.
Step 3 : select the test
statistic
7. Step 4 : formulate the decision rule
A decision rule is a statement of the specific condition.
critical value : the dividing point between the region
where the null hypothesis is rejected or not.
8. Step 5: Make a decision
The final step in hypothesis testing is
computing the test statistics, comparing it to the
critical value and making a decision to reject or
not to reject.
9. Example: Pizza House
A Pizza restaurant provides one of the fastest home
delivery services in the world with 20 mobile units. The
manager of home delivery services wants to formulate a
hypothesis test that could use a sample of response times
to determine whether or not the service goal of 12 minutes
or less is being achieved.
A sample of 40 home deliveries yields an average time of
13.25 minutes and standard deviation =3.2 minutes. Test
the hypothesis at 0.05 level of significance.
10. Example: Pizza House
Ho : Ha:
n = 40, x̅ = 13.25 minutes, s = 3.2 minutes
(The sample standard deviation s is used to estimate
.)
Since 2.47 > 1.645, we reject H0.
47.2
40/2.3
1225.13
n/
x
z
11. Conclusion: We are 95% confident that Pizza
House is not meeting the response goal of 12
minutes; appropriate action should be taken to
improve service.