Question

A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the past 30 days they had used their phone while in a store to call a friend or family member for advice about a purchase they were considering. The poll surveyed 1003 adults living in the United States by telephone. Of these, 462 responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

Refer to the previous exercise. a) Report the sample proportion, the standard error of the sample proportion, and the margin of error for 95% confidence. b) Are the guidelines for when to use the large-sample confidence interval for a population proportion satisfied in this setting? Explain your answer. c) Find the 95% large-sample confidence interval for the population proportion. d) Write a short statement explaining the meaning of your confidence interval.

Answer #1

Pew Internet and American Life Project asked an SRS of 2285 cell
phone users whether they had used their cell phone to look up
health or medical information. Of these, 462 said “Yes.” Calculate
a 99% confidence interval to estimate the proportion of all cell
phone users who have used their cell phone to look up health or
medical information. What is the upper bound of your confidence
interval?
(Give at least two decimal places.)

1. A Pew Research study regarding cell phones asked questions
about cell phone experience. One growing concern is unsolicited
advertising in the form of text messages. Pew asked 1150 cell phone
owners, “Have you ever received unsolicited text messages on your
cell pone from advertisers?” and 17% reported that they had.
a) State the parameter you want to estimate.
b) Check conditions and identify the appropriate inference
method.
c) If the conditions have been met, perform the calculations for
a...

Census ~ In 2020, Pew Research conducted a poll to examine how
likely a person was to participate in the 2020 US Census based on
their age. In a random sample of US adults aged 50 years or older,
85.63% said they were likely to participate in the Census. The
estimated standard error of the sample proportion is 0.0064. A
normal distribution can be used to model the sampling distribution
of sample proportion. The researchers wish to construct a 95%...

Census ~ In 2020, Pew Research conducted a poll
to examine how likely a person was to participate in the 2020 US
Census based on their age. In a random sample of US adults aged 18
- 49 years old, 67.45% said they were likely to participate in the
Census. The estimated standard error of the sample proportion is
0.0148.
A normal distribution can be used to model the sampling
distribution of sample proportion. The researchers wish to
construct a...

In a poll,1000 adults in a region were asked about their online
vs. in-store clothes shopping. One finding was that 28% of
respondents never clothes-shop online. Find and interpret a 95%
confidence interval for the proportion of all adults in the region
who never clothes-shop online.

In a study of cell phone use and brain hemispheric dominance,
an Internet survey was e-mailed to 2353 subjects randomly selected
from an online group involved with ears. 965 surveys were returned.
Construct a 95% 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 of the margin of error E.
E=______?
(Round to three decimal places as needed.)...

In the 2009 Parent-Ten Cell Phone Survey conducted by Princeton
Survey Research Associates International, 800 randomly sampled
16-17 year olds living I the U.S. were asked whether they have ever
used their cell phone to text while driving. Of the 800 teenagers
surveyed, 272 indicated that they text while driving. Obtain a
point estimator and a 95% confidence interval of the proportion of
16-17 year olds who text while driving.

1. When constructing a confidence interval to estimate a
population proportion, what affects the size of the margin of
error?
A. The sample size
B. The sample proportion
C. The confidence level
D. All of the above affect the size of the margin of error
E. None of the above affect the size of the margin of error
2. What percentage of couples meet through online dating
apps? A survey of a random sample of couples finds that 12% say...

A polling company conducts an annual poll of adults about
political opinions. The survey asked a random sample of 2354 adults
whether they think things in the country are going in the right
direction or in the wrong direction. 62% said that things were
going in the wrong direction. Complete parts a and b below.
a) Calculate the margin of error for the proportion of all
adults who think things are going in the wrong direction for 95%
confidence.

A marketing professor asked a random sample of college students
who have cell phones how much their monthly bill was. He found the
sample mean was $100. Using a two-tailed significance test, he
rejected Ho: µ = $80 using the usual decision cutoff of α = 0.05.
Which one of the following could be a 95% confidence interval for
the mean monthly cell phone bill for all college students with cell
phones?
Show your reasoning.
a) ($70, $110)
b) ($70,...

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