Question

A recent survey of 200 households showed that 8 had a single male as the head of household. Fortyyears ago, a survey of 200 households showed that 6 had a single male as the head of household. Canit be concluded that the proportion has changed? Find the 95% confidence interval of the differenceof the two proportions. Does the confidence interval contain zero? Why is this important to know?

For all confidence intervals, include

a. difference between sample estimates

b. standard error

c. confidence interval

d. state if you can conclude a difference, if so which one is greater

Answer #1

A recent survey of 200 households showed that 8 had a single
male as the head of the household. Forty years ago, a survey of 200
households showed that 6 had a single male as the head of the
household. Can it be concluded that the proportion has changed,
based on a 95% confidence interval? Recall the confidence interval
is calculated as

A recent survey of 200 randomly selected households showed that
8 had a single male as the head of household. Forty years ago, a
survey of 200 randomly selected households showed that 6 had a
single male as the head of household. Use a 0.05 significance level
to test the claim that the proportion has changed. Find the
P-value.

In a recent survey of 4276 randomly selected households showed
that 4020 of them had telephones. Using these results, construct a
99% confidence interval estimate of the true proportion of
households
with telephones.
P – PARAMETER
Describe the parameter in context. This should be a complete
sentence
A – ASSUMPTIONS
Are we allowed to construct an interval and why?
N – NAME THE INTERVAL
State what command you will be using the compute the interval
along with the values you...

USE A CONFIDENCE INTERVAL TO DETERMINE IF THE
PROPORTIONS ARE DIFFERENT.
2)
A recent survey showed that in a sample of 100 elementary school
teachers, 15 were single. In a sample of 180
high school teachers, 36 were single. Is the proportion of high
school teachers who were single greater than the
proportion of elementary teachers who were single? Use΅
=0.01.

In
a recent poll of 200 households in the area. 122 households had two
or more vehicles. Using a 99% level of confidence, estimate the
true proportion of households in the area that have two or more
vehicles.
What is the correct critical value to be used in calculating
the interval estimate?
a. 1.645
b. 1.414
c. 2.575
d. 2.018
What is the 99% confidence interval estimate?
a. (0.521, 0.699)
b. (0.542, 0.678)
c. (0.553, 0.667)
d. (0.513, 0.707)
With...

In a recent poll of 210 south Jersey households, it was found
that 152 households had at least one computer. Construct a 95%
confidence interval to estimate the population proportion of south
Jersey. A separate survey in Philadelphia found the sample
proportion of households with more than one computer to be 0.66,
what kind conclusion you can made in terms of the difference in
proportion between South Jersey and Philadelphia? (Your conclusion
must be based on the confidence interval you...

In a recent poll of 210 south Jersey households, it was found
that 152 households had at least one computer. Construct a 95%
confidence interval to estimate the population proportion of south
Jersey. A separate survey in Philadelphia found the sample
proportion of households with more than one computer to be 0.66,
what kind conclusion you can made in terms of the difference in
proportion between South Jersey and Philadelphia? (Your conclusion
must be based on the confidence interval you...

In a recent poll of 200 households, it was found that 152 had at
least one computer and one television. A 95% confidence interval to
estimate the population proportion was calculated to be .701 to
.819. What sample size would be needed to change the margin of
error to .030?

A survey conducted five years ago by the health center at a
university showed that 18% of the students smoked at the time. This
year a new survey was conducted on a random sample of 200 students
from this university, and it was found that 50 of them smoke. We
want to find if these data provide convincing evidence to suggest
that the percentage of students who smoke has changed over the last
five years. What are the test statistic...

Confidence Interval Examples 1. A recent survey based on 100
TCOB undergraduates showed that 40% of the respondents were using
an Iphone. What is the 90% confidence interval for the proportion
of Iphone users among TCOB undergraduates? (1) What is the
corresponding Z-‐value? (2) What is the sampling error for the
proportion? (3) What is the confidence interval? 2. A sample study
of 100 customers of Best Buy showed that the average dollar
spending during the last three months was...

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