Question

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

A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4469 patients treated with the drug, 190 developed the adverse reaction of nausea. Construct a 90% confidence interval for the proportion of adverse reactions.

a) Find the best point estimate of the population proportion p.

(Round to three decimal places as needed.)

b) Identify the value of the margin of error E.

E=

(Round to three decimal places as needed.)

c) Construct the confidence interval.

_ < p < _

(Round to three decimal places as needed.)

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

A. 90% of sample proportions will fall between the lower bound and the upper bound.

B.There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

C.One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

D.One has 90% confidence that the sample proportion is equal to the population proportion.

Answer #1

Solution :

Given that,

Point estimate = sample proportion = = x / n = 190 / 4469 = 0.043

Z_{/2}
= 1.645

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

= 1.645 * (((0.043 * 0.957) / 4469)

= 0.005

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.043 - 0.005 < p < 0.043 + 0.005

0.038 < p < 0.048

C.One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

Use the sample data and confidence level given below to complete
parts (a) through (d).
A drug is used to help prevent blood clots in certain patients.
In clinical trials, among
4248
patients treated with the drug,
101
developed the adverse reaction of nausea. Construct a
95% confidence interval for the proportion of adverse
reactions.
a) Find the best point estimate of the population proportion
p.
(Round to three decimal places as needed.)
b) Identify the value of the margin...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A drug is used to help prevent blood clots in certain patients.
In clinical trials, among 4994 patients treated with the drug,
180 developed the adverse reaction of nausea. Construct a 95%
confidence interval for the proportion of adverse reactions.
a) Find the best point estimate of the population
proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin...

Use the sample data and confidence level given below to complete
parts (a) through (d). A drug is used to help prevent blood clots
in certain patients. In clinical trials, among 4206 patients
treated with the drug, 148 developed the adverse reaction of
nausea. Construct a 99% confidence interval for the proportion of
adverse reactions.
a) Find the best point estimate of the population proportion
p.
___ (Round to three decimal places as needed.)
b) Identify the value of...

Use the sample data and confidence level given below to
complete parts (a) through (d).
A drug is used to help prevent blood clots in certain
patients. In clinical trials, among 4856 patients treated with
the drug, 144 developed the adverse reaction of nausea. Construct
a 95% confidence interval for the proportion of adverse
reactions.
a) Find the best point estimate of the population
proportion p.
(Round to three decimal places as
needed.)
b) Identify the value of the margin...

Use the sample data and confidence level given below to complete
parts (a) through (d).
In a study of cell phone use and brain hemispheric dominance,
an Internet survey was e-mailed to 2480 subjects randomly selected
from an online group involved with ears. 1030 surveys were
returned. Construct a 90% confidence interval for the proportion
of returned surveys.
a) Find the best point estimate of the population
proportion p.
(Round to three decimal places as needed.)
b) Identify the value...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll,
n equals n=963
and
x=587
who said "yes." Use a
90%
confidence level.
LOADING...
Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion
p.
nothing
(Round to three decimal places as needed.)
b) Identify the value of the...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll, n equals =1091 and x
equals =501 who said "yes". Use a
95 % confidence level.
a) Find the best point estimate of the population proportion
p.
Population proportion = ?
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E= ?...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll,
n=991
and
x=592
who said "yes." Use a
95%
confidence level.
a) Find the best point estimate of the population proportion
p.
nothing
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E=nothing
(Round to three decimal places as needed.)
c)...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll, n=1075 and x=514 who
said "yes." Use a 95 % confidence level.
a) Find the best point estimate of the population proportion p.
_____ (Round to three decimal places as needed.)
b) Identify the value of the margin of error E. E=_____(Round
to three decimal places as needed.)
c)...

Use the sample data and confidence level given below to complete
parts (a) through (d).
In a study of cell phone use and brain hemispheric dominance,
an Internet survey was e-mailed to 2620 subjects randomly selected
from an online group involved with ears. 1080
surveys were returned. Construct a 99% confidence interval for
the proportion of returned surveys.
USE Z SCORE TABLE
a) Find the best point estimate of the population proportion p.
_____________ (Round to three decimal places as...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 8 minutes ago

asked 8 minutes ago

asked 27 minutes ago

asked 33 minutes ago

asked 35 minutes ago

asked 36 minutes ago

asked 37 minutes ago

asked 50 minutes ago

asked 52 minutes ago

asked 53 minutes ago

asked 56 minutes ago