Question
In: Statistics and Probability
Two random samples are taken, one from among UVA students and the other from among UNC...
Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes'' are given below:
UVA (Pop. 1):UNC (Pop. 2):n1=85,n2=100,p̂ 1=0.733p̂ 2=0.635UVA (Pop. 1):n1=85,p^1=0.733UNC (Pop. 2):n2=100,p^2=0.635
Find a 95.4% confidence interval for the difference p1−p2p1−p2 of the population proportions.
Solutions
orchestra answered 1 year agoRelated Solutions
Two random samples are taken, one from among UVA students and the other from among UNC...
Two random samples are taken, one from among UVA students and
the other from among UNC students. Both groups are asked if
academics are their top priority. A summary of the sample sizes and
proportions of each group answering yes'' are given below: UVA
(Pop. 1):UNC (Pop.
2):n1=81,n2=85,p^1=0.8
p^2=0.663
Find a 96.3% confidence interval for the difference
p1−p2 of the population proportions.
Two random samples are taken, one from among UVA students and the other from among UNC...
Two random samples are taken, one from among UVA students and
the other from among UNC students. Both groups are asked if
academics are their top priority. A summary of the sample sizes and
proportions of each group answering yes'' are given below:
UVA (Pop. 1):n1=80, p̂ 1=0.72
UNC (Pop. 2):n2=81, p̂ 2=0.64
Find a 97.7% confidence interval for the difference p1−p2 of the
population proportions.
Confidence interval = ?????
-any chance you can also explain how this is done...
Two random samples are taken, one from among UVA students and the other from...
Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes" are given below: UVA (Pop. 1): n1 = 89,\(\hat{p}_{1}\)
= 0.81 UNC (Pop. 2): n2 = 86,\(\hat{p}_{2}\) = 0.561 Find a 97.3% confidence interval for the difference P1 – P2 of the population proportions. Confidence interval = _______
Two random samples are taken, one from among first-year students and the other from among fourth-year...
Two random samples are taken, one from among first-year students
and the other from among fourth-year students at a public
university. Both samples are asked if they favor modifying the
student Honor Code. A summary of the sample sizes and number of
each group answering yes'' are given below:
First-Years (Pop. 1):Fourth-Years (Pop.
2):n1=84,n2=88,x1=43x2=38
Is there evidence, at an ?=0.08 level of significance,
to conclude that there is a difference in proportions between
first-years and fourth-years? Carry out an appropriate...
Two random samples are taken, one from among first-year students and the other from among fourth-year...
Two random samples are taken, one from among first-year students
and the other from among fourth-year students at a public
university. Both samples are asked if they favor modifying the
student Honor Code. A summary of the sample sizes and number of
each group answering "yes'' are given below:
First-Years (Pop. 1):n1=93 x2=56
Fourth-Years (Pop. 2):,n2=97 x1=62
Is there evidence, at an α=0.07 level of significance, to
conclude that there is a difference in proportions between
first-years and fourth-years? Carry...
Among two independent random samples, one from city schools and one from rural schools, the following...
Among two independent random samples, one from city schools and
one from rural schools, the
following sample statistics were computed for the amount of
Instructional Spending per student
(in thousands of dollars). Assume the unknown population variances
are equal to answer the
following questions.
City
Schools Rural Schools
Sample Means 5.16 5.93
Sample Sizes 35 42
Sample Variances 3.1 4.06
a. Construct a 90% confidence interval (α = 10%) for the
difference between the two
sample means. Show the Margin...
Two random samples were drawn from members of the U.S. Congress. One sample was taken from...
Two random samples were drawn from members of the U.S. Congress.
One sample was taken from members who are Democrats and the other
from members who are Republicans. For each sample, the number of
dollars spent on federal projects in each congressperson's home
district was recorded. Dollars Spent on Federal Projects in Home
Districts Party Less than 5 Billion 5 to 10 Billion More than 10
billion Row Total Democratic 6 16 23 45 Republican 11 17 19 47
Column...
Two random samples were drawn from members of the U.S. Congress. One sample was taken from...
Two random samples were drawn from members of the U.S. Congress.
One sample was taken from members who are Democrats and the other
from members who are Republicans. For each sample, the number of
dollars spent on federal projects in each congressperson's home
district was recorded. Dollars Spent on Federal Projects in Home
Districts Party Less than 5 Billion 5 to 10 Billion More than 10
billion Row Total Democratic 9 11 25 45 Republican 11 19 17 47
Column...
Two random samples of 40 students were drawn independently from two populations of students. Assume their...
Two random samples of 40 students were drawn independently from
two populations of students. Assume their aptitude tests are
normally distributed (total points = 100). The following statistics
regarding their scores in an aptitude test were obtained: xbar1=
76, s1 = 8, xbar2 = 72, and s2 = 6.5.
Test at the 5% significance level to determine whether we can infer
that the two population means differ. (Note: You cannot necessarily
assume that the populations have the same variances).
Please...
Nine samples were taken from 2 streams, four from one and five from the other and...
Nine samples were taken from 2 streams, four from one and five
from the other and the following data were obtained.
Pollution lever in stream 1: ppm
Pollution level in stream 2: ppm
16
9
12
10
14
8
11
6
Someone claimed that the data proved that stream 2 is less
polluted than stream 1.
Someone else asked the following questions: When were the data
collected? Were the data collected all in one day or on different
days? Were...
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