Question

simple random sample of size n=400 individuals who are currently employed is asked if they work at home at least once per week. Of the 400 employed individuals surveyed,44 responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.

Answer #1

Solution :

Given that,

n = 400

x = 44

Point estimate = sample proportion = = x / n = 0.11

1 - = 0.89

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z_{/2}
= Z_{0.005} = 2.576

Margin of error = E = Z_{
/ 2} *
((
* (1 -
)) / n)

= 2.576 * (((0.11 * 0.89) / 400)

= 0.040

A 99% confidence interval for population proportion p is ,

- E < p < + E

0.11 - 0.040 < p < 0.11 +0.040

**0.070 < p < 0.150**

**The 99% confidence interval is : (0.070 ,
0.150)**

A simple random sample of size
n=400
individuals who are currently employed is asked if they work at
home at least once per week. Of the
400
employed individuals surveyed,
38
responded that they did work at home at least once per week.
Construct a 99% confidence interval for the population proportion
of employed individuals who work at home at least once per
week.

A simple random sample of size n equals 400 individuals who are
currently employed is asked if they work at home at least once per
week. Of the 400 employed individuals surveyed 40 responded that
they did work at home at least once per week. Construct a 99%
confidence interval for the population proportion of employed
individuals who work at home at least once per week.

A simple random sample of size n equals 400 individuals who are
currently employed is asked if they work at home at least once per
week. Of the 400 employed individuals surveyed, 34 responded that
they did work at home at least once per week. Construct a 99%
confidence interval for the population proportion of employed
individuals who work at home at least once per week.
The lower bound is

A simple random sample of size n=350 individuals who are
currently employed is asked if they work at home at least once per
week. Of the 350 employed individuals surveyed,38 responded that
they did work at home at least once per week. Construct a 99%
confidence interval for the population proportion of employed
individuals who work at home at least once per week.

A simple random sample of size n equals 350 individuals who are
currently employed is asked if they work at home at least once per
week. Of the 350 employed individuals surveyed, 36 responded that
they did work at home at least once per week. Construct a 99%
confidence interval for the population proportion of employed
individuals who work at home at least once per week.

A simple random sample of size n equals n=200 individuals who
are currently employed is asked if they work at home at least once
per week. Of the 200 employed individuals surveyed,40 responded
that they did work at home at least once per week. Construct a 99%
confidence interval for the population proportion of employed
individuals who work at home at least once per week. Find Lower and
Upper Bound

A simple random sample of size
n equals 350
individuals who are currently employed is asked if they work at
home at least once per week. Of the
350
employed individuals surveyed,
32
responded that they did work at home at least once per week.
Construct a 99% confidence interval for the population proportion
of employed individuals who work at home at least once per
week.
The lower bound is
nothing.
(Round to three decimal places as needed.)

A simple random sample of size
n equals n=300
individuals who are currently employed is asked if they work at
home at least once per week. Of the
300
employed individuals surveyed,
37
responded that they did work at home at least once per week.
Construct a 99% confidence interval for the population proportion
of employed individuals who work at home at least once per
week.
Find lower and upper bound. Round to three decimal places.

What is the lower and upper bound?
A simple random sample of size n equals 350 individuals who are
currently employed is asked if they work at home at least once per
week. Of the 350 employed individuals surveyed, 28 responded that
they did work at home at least once per week. Construct a 99%
confidence interval for the population proportion of employed
individuals who work at home at least once per week.

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24 of the individuals met a specified criteria.
a) What is the margin of error for a 90% confidence interval for
p, the population proportion?
Round your response to at least 3 decimal places.
b) What is the margin of error for a 95% confidence interval for
p?
Round your response to at least 3 decimal places.

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