In July of 2013, Australians were asked if they thought unemployment would increase, and 47% thought that it would increase. In November of 2013, they were asked again. At that time 314 out of 700 said that they thought unemployment would increase. At the 3% level, is there enough evidence to show that the proportion of Austrailians in November 2013 who believe unemployment would increase is lower than the proportion who felt it would increase in July 2013.
P: PARAMETER
What is the correct parameter symbol for this propblem?
p
What is the wording of the parameter in the context of this problem?
The percentage of all Australians in November 2013 that believe unemployment would increase.
H: Hypotheses
Fill in the correct null and alternative hypotheses:
H_(o): p =0.47
H_(A): p < 0.47
A: ASSUMPTIONS
Since qualitative information was collected from each object, what conditions do we need to check?
np>=10
N>=20n
n(1-p)>=10
Check those assumptions:
1. np_____ which is ___ ____
2.n(1-p)=______ which is ___ ___
3. N = ____ which is ___ ____
If no N is given in the problem, use 1,000,000
N: Name the procedure
The conditions are met to use a 1-Proportion Z-Test
T: TEST STATISTIC
The symbol and value of the random variable on this problem are as follows:
Leave this answer as a fraction.
___ = ____
The formula set up of the test statistic is as follows:
(Leave any values that were given as fractions as fractions)
z=(^(p)-p)/(\sqrt((p(1-p))/(n)))=
(_____ - _____)/