Question

1.A confidence interval was constructed to estimate the proportion of smokers in the U.S.

Use the confidence interval 0.117 < p < 0.412 to find the point estimate, p ^

.

*Round answer to 3 decimal places*.

2.A confidence interval was constructed to estimate the proportion of people who suffer from seasonal allergy.

Use the confidence interval 0.466 < p < 0.54 to find the
**point estimate**, p ^

.

*Round answer to 3 decimal places*.

3.A confidence interval was constructed to estimate the proportion of smokers in the U.S.

Use the confidence interval 0.115 < p < 0.444 to find the
**margin of error**, **E**.

*Round answer to 3 decimal places*.

4.A confidence interval was constructed to estimate the proportion of people who suffer from seasonal allergy.

Use the confidence interval 0.479 < p < 0.553 to find the
**margin of error**, **E**.

*Round answer to 3 decimal places*.

5.Express the confidence interval 0.324 ± 0.056 in the inequality form.

< p <

6.Express the confidence interval (0.588, 0.624) in the inequality form.

< p <

Answer #1

Use the normal distribution to find a confidence interval for a
proportion p given the relevant sample results. Give the best point
estimate for p, the margin of error, and the confidence interval.
Assume the results come from a random sample.
A 95% confidence interval for the proportion who will answer
‘‘Yes” to a question, given that 60 answered yes in a random sample
of 95 people.
Round your answers to three decimal places.
Point estimate =
Margin of error...

Assume that a sample is used to estimate a population proportion
p. Find the 95% confidence interval for a sample of size 118 with
82 successes. Enter your answer as a tri-linear inequality using
decimals (not percents) accurate to three decimal places.
answer ____ < p < answer _____

Assume that a sample is used to estimate a population proportion
p. Find the 99% confidence interval for a sample of size
222 with 71 successes. Enter your answer as a tri-linear inequality
using decimals (not percents) accurate to three decimal places.
____< p <____
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

Assume that a sample is used to estimate a population proportion
p. Find the 99.5% confidence interval for a sample of size 219 with
14.2% successes. Enter your answer as a tri-linear inequality using
decimals (not percents) accurate to three decimal places. < p
< Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

Assume that a sample is used to estimate a population proportion
p. Find the 99% confidence interval for a sample of size
288 with 143 successes. Enter your answer as a tri-linear
inequality using decimals (not percents) accurate to three decimal
places.
_____< p < ______

Assume that a sample is used to estimate a population proportion
p. Find the 98% confidence interval for a sample of size
144 with 62% successes. Enter your answer as a tri-linear
inequality using decimals (not percents) accurate to three decimal
places.
_ < p < _

Assume that a sample is used to estimate a population proportion
p. Find the 90% confidence interval for a sample of size 205 with
10% successes. Enter your answer as a tri-linear inequality using
decimals (not percents) accurate to three decimal places. <
p

Assume that a sample is used to estimate a population proportion
p. Find the 99% confidence interval for a sample of size 224 with
17% successes. Enter your answer as a tri-linear inequality using
decimals (not percents) accurate to three decimal places.
< p <

Assume that a sample is used to estimate a population proportion
p. Find the 80% confidence interval for a sample of size
273 with 41% successes. Enter your answer as a tri-linear
inequality using decimals (not percents) accurate to three decimal
places.
____ < p < ____
** Enter a decimal or integral number.

Assume that a sample is used to estimate a population proportion
p. Find the 99% confidence interval for a sample of size
249 with 30 successes. Enter your answer as a tri-linear inequality
using decimals (not percents) accurate to three decimal
places.

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