520 / 762
520
Chapter 12: Hypothesis Tests – Large Samples
12-3 Large Sample Test for a Single PopulationProportion
In this section we will present tests of hypotheses that will enable us to
determine, based on sample data, whether the true value of a population
proportion equals a given constant. Samples of size
will be obtained and
the number or proportion of successes will be observed. It will be assumed
that the trials in the experiment are independent and that the probability of
success is the same for each trial. That is, we are assuming that we have a
binomial experiment and we are testing hypotheses about the parameter
of
a binomial population.
Figure 12-2
shows the experimental display of the sampling population with
its proportion of
. A random sample of size
is selected from the
population and the number of successes for the attribute
is recorded.
We will assume a large sample where
> 5 and
> 5.
Figure 12-2:
Experimental Display for Sampling from
a population with proportion
p
Next we will present the procedure to test for a population proportion greater
than some given proportion.