We wish to estimate what percent of adult residents in a certain country are parents. Out of 300 adult residents
Answers
Answer:
The sample proportion is known as a point estimate of the population proportion.
Answer:
Given that,
Sample size,
n
=
200
Number of kids,
x
=
144
Sample proportion,
^
p
=
x
n
^
p
=
144
200
^
p
=
0.72
The 95% confidence interval for the population proportion is defined as:
^
p
±
Z
0.05
/
2
×
√
^
p
(
1
−
^
p
)
n
Applying excel function for the confidence coefficient:=NORMINV(0.05/2,0,1)(info)
So,
Z
0.05
/
2
=
1.96
Now,
0.72
±
1.96
×
√
f
r
a
c
0.72
×
(
1
−
0.72
)
200
0.657
<
p
<
0.782
The sample proportion is known as a point estimate of the population proportion.
The sample proportion,
^
p
=
0.72
The margin of error is the half-width of the confidence interval.
Margin of error,
M
E
=
0.72
−
0.657
2
M
E
=
0.0315Given that,
Sample size,
n
=
200
Number of kids,
x
=
144
Sample proportion,
^
p
=
x
n
^
p
=
144
200
^
p
=
0.72
The 95% confidence interval for the population proportion is defined as:
^
p
±
Z
0.05
/
2
×
√
^
p
(
1
−
^
p
)
n
Applying excel function for the confidence coefficient:=NORMINV(0.05/2,0,1)(info)
So,
Z
0.05
/
2
=
1.96
Now,
0.72
±
1.96
×
√
f
r
a
c
0.72
×
(
1
−
0.72
)
200
0.657
<
p
<
0.782
The sample proportion is known as a point estimate of the population proportion.
The sample proportion,
^
p
=
0.72
The margin of error is the half-width of the confidence interval.
Margin of error,
M
E
=
0.72
−
0.657
2
M
E
=
0.0315
Explanation: