Question

(1 point) 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=97,n2=95,p^1=0.724p^2=0.628 Find a 96.6% confidence interval for the difference p1−p2 of the population proportions. Confidence interval =

Answer #1

The statistical software output for this problem is:

From above output, 96.6% confidence interval will be:

**(-0.0465, 0.2385)**

(1 point)
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=88,n2=90,p̂ 1=0.839p̂ 2=0.593UVA
(Pop. 1):n1=88,p^1=0.839UNC (Pop. 2):n2=90,p^2=0.593
Find a 97.9% confidence interval for the difference p1−p2p1−p2
of the population proportions.
Confidence interval =

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=88,n2=90,p̂ 1=0.839p̂ 2=0.593UVA
(Pop. 1):n1=88,p^1=0.839UNC (Pop. 2):n2=90,p^2=0.593
Find a 97.9% confidence interval for the difference p1−p2p1−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 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=93,n2=97,x1=62x2=56First-Years (Pop.
1):n1=93,x1=62Fourth-Years (Pop. 2):n2=97,x2=56
Is there evidence, at an ?=0.07?=0.07 level of significance, to
conclude that there is a difference in proportions between
first-years and fourth-years?...

Two random samples are taken, with each group asked if they
support a particular candidate. A summary of the sample sizes and
proportions of each group answering yes'' are given
below.
Pop. 1:Pop.
2:n1=89,n2=94,p^1=0.794p^2=0.596
Suppose that the data yields (0.0501,0.3459) for a confidence
interval for the difference p1−p2 of the
population proportions. What is the confidence level? (Give your
answer in terms of percentages.)
Confidence Level =

Two random samples are taken, with each group asked if they
support a particular candidate. A summary of the sample sizes and
proportions of each group answering yes'' are given below:
Pop. 1: n1=83, p?1=0.714; Pop. 2: n2=93,
p?2=0.632
Suppose that the data yields (-0.0641, 0.2281) for a confidence
interval for the difference p1?p2 p 1 ? p 2 of the population
proportions. What is the confidence level? (Give your answer in
terms of percentages.)

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=86,n2=83,x1=50x2=58First-Years (Pop.
1):n1=86,x1=50Fourth-Years (Pop. 2):n2=83,x2=58
Is there evidence, at an α=0.065α=0.065 level of significance,
to conclude that there is a difference in proportions between
first-years and fourth-years?...

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=89,x1=57x2=64First-Years (Pop.
1):n1=84,x1=57Fourth-Years (Pop. 2):n2=89,x2=64
Is there evidence, at an α=0.1, level of significance, to
conclude that there is a difference in proportions between
first-years and fourth-years?...

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=82,n2=84,x1=47x2=47
Is there evidence, at an α=0.035 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 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=96, x1=49
Fourth-Years (Pop. 2):n2=88, x2=54
Is there evidence, at an α=0.04 level of significance, to
conclude that there is a difference in proportions between
first-years and fourth-years?...

1) Independent random samples, each containing 90 observations,
were selected from two populations. The samples from populations 1
and 2 produced 21 and 14 successes, respectively.
Test H0:(p1?p2)=0 against
Ha:(p1?p2)?0. Use
?=0.07.
(a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. We can reject the null hypothesis that
(p1?p2)=0 and accept that
(p1?p2)?0.
B. There is not sufficient evidence to reject the
null hypothesis that (p1?p2)=0.
2)Two random samples are taken, one from among...

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