Answer:
Explanation:
Step 1
1 of 2
Given:
�
0
=
2
%
=
0.02
p
0
=2%=0.02
�
=
60
n=60
�
=
5
x=5
CONDITIONS
We will use the $\textbf{one-proportion
�
z-test}$, since we are interested in testing the claim about one population proportion.
Conditions
Conditions: Random sample, 10% condition, Success-failure condition
Random sample: Satisfied, because the washers were randomly checked.
10% condition: Satisfied, because the 60 washers is less than 10% of all washers.
Success-failure condition: Not satisfied, since
�
�
0
np
0
and
�
(
1
−
�
0
)
n(1−p
0
) are not both at least 10.
�
�
0
=
60
(
0.02
)
=
1.2
<
10np0=60(0.02)=1.2<10�(1−�0)=60(1−0.02)=58.8≥10n(1−p0)=60(1−0.02)=58.8≥0
Thus we note that all conditions are not satisfied and thus we should not proceed with the test.