Question
In: Statistics and Probability
About 90% of young adult Internet users (ages 18 to 29) use social-networking sites. (a) Suppose...
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About 90% of young adult Internet users (ages 18 to 29) use social-networking sites. (a) Suppose a sample survey contacts an SRS of 1600 young adult Internet users and calculates the proportion pˆp^ in this sample who use social-networking sites. What is the approximate distribution of pˆp^? μpˆμp^ (±±0.00001) = , σpˆσp^ (±±0.00001) = What is the probability that pˆp^ is between 87% and 93%? This is the probability that pˆp^ estimates pp within 3%. (Use software.) P(0.87<pˆ<0.93)P(0.87<p^<0.93) (±±0.0001) = (b) If the sample size were 6400 rather than 1600, what would be the approximate distribution of pˆp^? μpˆμp^ (±±0.00001) = , σpˆσp^ (±±0.00001) = What is the probability that pˆp^ is between 87% and 93%? This is the probability that pˆp^ estimates pp within 3%. (Use software.) P(0.87<pˆ<0.93)P(0.87<p^<0.93) (±±0.0001) = |
Solutions
orchestra answered 1 year agoRelated Solutions
About 90% of young adult Internet users (ages 18 to 29) use social-networking sites. (a) Suppose...
About 90% of young adult Internet users (ages 18 to 29) use
social-networking sites.
(a) Suppose a sample survey contacts an SRS of 1400 young adult
Internet users and calculates the proportion pˆp^ in this sample
who use social-networking sites.
What is the approximate distribution of pˆp^?
μpˆμp^ (±±0.00001) = , σpˆσp^ (±±0.00001) =
What is the probability that pˆp^ is between 87% and 93%? This
is the probability that pˆp^ estimates pp within 3%.
(Use software.)
P(0.87<pˆ<0.93)P(0.87<p^<0.93) (±±0.0001) =...
In a 2012 survey of Internet users, respondents were asked whether they used social networking sites....
In a 2012 survey of Internet users, respondents were asked
whether they used social networking sites. The following
2 ✕ 2 table of counts and row percentages displays the results
by sex of the respondent.
Use Social Networking
Sites?
Yes
No
Total
Men
521 (62%)
324 (38%)
845 (100%)
Women
680 (71%)
281 (29%)
961 (100%)
Total
1,201
605
1,806
(
(b)
Calculate the value of the chi-square statistic in this
situation. (Round your answer to two decimal places.)
χ2...
In a 2012 survey of Internet users, respondents were asked whether they used social networking sites....
In a 2012 survey of Internet users, respondents were asked
whether they used social networking sites. The following
2 ✕ 2 table of counts and row percentages displays the results
by sex of the respondent.
Use Social Networking
Sites?
Yes
No
Total
Men
521 (62%)
324 (38%)
845 (100%)
Women
680 (71%)
281 (29%)
961 (100%)
Total
1,201
605
1,806
(
(b)
Calculate the value of the chi-square statistic in this
situation. (Round your answer to two decimal places.)
χ2...
A survey of adults ages 18-29 found that 86% use the Internet. You randomly select 125...
A survey of adults ages 18-29 found that 86% use the Internet.
You randomly select 125 adults ages 18-29 and ask them if they use
the Internet. (a) Find the probability that exactly 102people say
they use the Internet. (b) Find the probability that at least
102people say they use the Internet. (c) Find the probability that
fewer than 102people say they use the Internet. (d) Are any of the
probabilities in parts (a)-(c) unusual? Explain.
A survey of adults ages 18-29 found that 82% use the Internet. You randomly select 154...
A survey of adults ages 18-29 found that 82% use the Internet.
You randomly select 154 adults ages 18-29 and ask them if they use
the Internet.
a) Find the probability that exactly 130 people say they use the
Internet.
b) Find the probability that at least 130 people say they use
the Internet.
c) Find the probability that fewer than 130 people say they use
the Internet.
d) Are any of the probabilities in parts (a)-(c) unusual?
Explain.
Use...
A survey of adults ages 18-29 found that 83% use the Internet. You randomly select 108...
A survey of adults ages 18-29 found that 83%
use the Internet. You randomly select 108 adults ages 18-29 and
ask them if they use the Internet.
(a) Find the probability that exactly 86 people say they use
the Internet.
(b) Find the probability that at least 86 people say they use
the Internet.
(c) Find the probability that fewer than 86 people say they use
the Internet.
(d) Are any of the probabilities in parts (a)-(c) unusual?
Explain.
Social media users use a variety of devices to access social networking; mobile phones are increasingly...
Social media users use a variety of devices to access social
networking; mobile phones are increasingly popular. However, is
there a difference in the various age groups in the proportion of
social media users who use their mobile phone to access social
networking? A study showed the following results for the different
age groups, assume that 200 social media users for each age group
were surveyed.
ORIGINAL DATA
ACCESS TO SOCIAL MEDIA
18-34
35-64
65+
TOTAL
YES
118
72
26...
Are individuals who use social networking sites displaying traits of narcissism? Is this a developmental stage...
Are individuals who use social networking sites displaying
traits of narcissism? Is this a developmental stage in the
lifespan?
3. a. According to a study, 75% of adults ages 18-29 years had broadband Internet access...
3.
a. According to a study, 75% of adults ages 18-29 years had
broadband Internet access at home in 2011. A researcher wanted to
estimate the proportion of undergraduate college students (18-23
years) with access, so she randomly sampled 181 undergraduates and
found that 158 had access. Estimate the true proportion with 90%
confidence. Round your answers to three decimal
places. ___ < p < ____
b. it has been reported that 20.4% of incoming freshmen indicate
that they will...
A recent study shows that 18% of adults in the US do not use the Internet. Suppose that 12 adults are randomly selected in the US.
A recent study shows that 18% of adults in the US do not use the Internet. Suppose that 12 adults are randomly selected in the US.
a)Construct the PMF of X, the number of adults who don't use internet in this group.
b)What is the expected value and standard deviation of X?
c)What is the probability that at least 1 of the adults uses the Internet?
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