Question

Use the sample data and confidence level given below to complete parts (a) through (d).

Answer 1

Answer:

Given that,

Sample size,

n

=

4369

Sample proportion,

^

p

=

185

4369

=

0.0423

a)

The sample proportion is a point estimate of the population proportion.

^

p

=

0.0423

b)

The margin of error is defined as:

M

E

=

Z

0.10

/

2

×

√

^

p

(

1

−

^

p

)

n

Excel function for the confidence coefficient:

=NORMINV(0.10/2,0,1)

M

E

=

1.645

×

√

0.0423

(

1

−

0.0423

)

4369

M

E

=

0.005

c)

The 90% confidence interval for the population proportion is defined as:

^

p

±

z

0.10

/

2

√

^

p

(

1

−

^

p

)

n

0.0423

±

1.645

√

0.0423

(

1

−

0.0423

)

4369

(

0.0373

,

0.0473

)