Question

In a certain survey, respondents were asked if they ever hesitated to give a handshake because of a fear of germs. Of the respondents, 460 answered “yes” and 540 said “no”. (Round to three decimal place as needed) a.) What is the sample proportion of yes respondents? b.) Find 99% confidence interval for the proportion of “yes” responses.

Answer #1

Solution :

Given that Of the respondents, 460 answered “yes” and 540 said “no”

=> total respondants n = 460 + 540 = 1000

=> yes respondants x = 460

a.) => The sample proportion of yes respondents p = x/n

= 460/1000

= 0.460

b.)

=> For 99% confidence interval , Z = 2.58

=> q = 1 - p = 0.540

=> The 99% confidence interval for the proportion of “yes” responses is

=> p +/- Z*sqrt(p*q/n)

=> 0.460 +/- 2.58*sqrt(0.460*0.540/1000)

=> (0.4193 , 0.5007)

=> (0.419 , 0.501) (rounded)

In a survey of consumers aged 12 and older, respondents were
asked how many cell phones were in use by the household. (No two
respondents were from the same household.) Among the respondents,
217 answered "none," 282 said "one," 370 said "two," 138 said
"three," and 134 responded with four or more. A survey respondent
is selected at random. Find the probability that his/her household
has four or more cell phones in use. Is it unlikely for a household
to...

In a survey on downloading music, a poll asked 724 internet
users if they "ever downloaded music from an internet site that was
not authorized by a recording company, or not" and 16% responded
"yes". Construct a 99% confidence interval for the true proportion
of internet users who have downloaded music from an internet site
that was not authorized.
What is the confidence interval?

Q1
A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll,
n=911 and
x=582 who said "yes." Use a
99% 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.
(Round to three decimal places as needed.)
c) Construct the confidence interval.
less than p less than
<p<
(Round to three decimal places as...

A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll, n=926 and
x=552 who said "yes". Use a 99% confidence
level.
A) Find the best point estimate of the population P. (Round to
three decimal places as needed)
B) Identify the value of margin of error E. ________ (Round to
four decimal places as needed)
C) Construct a confidence interval. ___ < p <. (Round to
three decimal places as needed)
D) Write a statement that...

A survey asked whether respondents favored or opposed the death
penalty for people convicted of murder. Software shows the results
below, where X refers to the number of the respondents who were in
favor. Construct the 95% confidence interval for the proportion of
the adults who were opposed to the death penalty from the
confidence interval stated below for the proportion in favor.
x- 1767
n- 2617
sample p- .6752
95.0% CI- (.657, .693)

A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll, n=924 and x=565 who said
yes. Use a 99% confidecne level.
A. find the best point of estimate of the population of
portion p.
B. Identify the value of the margin of error E.
E= round to four decimal places as needed.
C. Construct the confidence interval.
_ < p <_ round to three decimal places.
D. Write a statement that correctly interprets the...

In a survey, 16 people were asked how much they spent on their
child's last birthday gift. The results were roughly bell-shaped
with a mean of $44 and standard deviation of $14. Construct a
confidence interval at a 99% confidence level.
Give your answers to one decimal place.

In a survey, 21 people were asked how much they spent on their
child's last birthday gift. The results were roughly bell-shaped
with a mean of $48 and standard deviation of $19. Construct a
confidence interval at a 99% confidence level.
Give your answers to one decimal place.

In a survey, 16 people were asked how much they spent on their
child's last birthday gift. The results were roughly bell-shaped
with a mean of $39 and standard deviation of $15. Construct a
confidence interval at a 99% confidence level. Give your answers to
one decimal place. ±

In a survey, 29 people were asked how much they spent on their
child's last birthday gift. The results were roughly bell-shaped
with a mean of $41 and standard deviation of $9. Construct a
confidence interval at a 99% confidence level.
Give your answers to one decimal place.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 22 minutes ago

asked 37 minutes ago

asked 38 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago