Question
In: Statistics and Probability
An economist wants to know if the proportion of the U.S. population who commutes to work...
An economist wants to know if the proportion of the U.S. population who commutes to work via carpooling is on the rise. What size sample should be obtained if the economist wants an estimate within 3 percentage points of the true proportion with 95% confidence, given she has a 2018 estimate of .10 from a previous survey? Group of answer choices 1,691 389 388 385
Solutions
Expert Solution
Solution :
Given that,
=
0.10
1 -
= 1 - 0.10= 0.90
margin of error = E = 3% = 0.03
At 95% confidence level the z is ,
= 1 - 95% = 1 - 0.95 = 0.05
/ 2 = 0.05 / 2 = 0.025
Z/2
= Z0.025 = 1.96 ( Using z table )
Sample size = n = (Z
/2
/ E)2 *
* (1 -
)
= (1.96 / 0.03)2 * 0.10 * 0.90
= 384.16
Sample size =385
orchestra answered 2 years agoRelated Solutions
Suppose the U.S. president wants an estimate of the proportion of the population who support his...
Suppose the U.S. president wants an estimate of the proportion
of the population who support his current policy toward revisions
in the health care system. The president wants the estimate to be
within 0.03 of the true proportion. Assume a 98% level of
confidence. The president's political advisors estimated the
proportion supporting the current policy to be 0.54.
a.) How large of a sample is required? (Round the z-values to 2
decimal places. Round up your answer to the next...
Suppose the U.S. president wants an estimate of the proportion of the population who support his...
Suppose the U.S. president wants an estimate of the proportion
of the population who support his current policy toward revisions
in the health care system. The president wants the estimate to be
within 0.03 of the true proportion. Assume a 98% level of
confidence. The president's political advisors estimated the
proportion supporting the current policy to be 0.54.
a.) How large of a sample is required? (Round the z-values to 2
decimal places. Round up your answer to the next...
Suppose the U.S. president wants an estimate of the proportion of the population who support his...
Suppose the U.S. president wants an estimate of the proportion
of the population who support his current policy toward revisions
in the health care system. The president wants the estimate to be
within 0.02 of the true proportion. Assume a 95% level of
confidence. The president's political advisors estimated the
proportion supporting the current policy to be 0.59. (Use z
Distribution Table.)
a. How large of a sample is required? (Round the z-values to 2
decimal places. Round up your...
Suppose the U.S. president wants an estimate of the proportion of the population who support his...
Suppose the U.S. president wants an estimate of the proportion
of the population who support his current policy toward revisions
in the health care system. The president wants the estimate to be
within 0.03 of the true proportion. Assume a 90% level of
confidence. The president's political advisors estimated the
proportion supporting the current policy to be 0.56. (Use z
Distribution Table.)
a.
How large of a sample is required? (Round the z-values
to 2 decimal places. Round up your...
The dean of the school wants to know the proportion of students in the school who...
The dean of the school wants to know the proportion of students
in the school who prefer online classes for the next semester. How
do you conduct a research to estimate this proportion by sampling
(suppose that you can take only one sample of size n which is
smaller than the population size N, and also suppose that a %90
percent confidence interval is fine). - You should explain all
steps you take including how you make decision about sample...
A researcher wants to know the proportion of students at the university who live in residence....
A researcher wants to know the proportion of students at the
university who live in residence. A sample of 50 students was taken
and the researcher found 25 of them lived in residence. What is the
99% confidence interval for the proportion of students who live in
residence?
Suppose the U.S. president wants to estimate the proportion of the population that supports his current...
Suppose the U.S. president wants to estimate the proportion of
the population that supports his current policy toward revisions in
the health care system. The president wants the estimate to be
within 0.03 of the true proportion. Assume a 99% level of
confidence. The president’s political advisors found a similar
survey from two years ago that reported that 62% of people
supported health care revisions. (Answers must
be whole numbers.)
How large of a sample is required?
How large of a...
Suppose the U.S. president wants to estimate the proportion of the population that supports his current...
Suppose the U.S. president wants to estimate the proportion of
the population that supports his current policy toward revisions in
the health care system. The president wants the estimate to be
within 0.03 of the true proportion. Assume a 98% level of
confidence. The president’s political advisors found a similar
survey from two years ago that reported that 63% of people
supported health care revisions.
How large of a sample is required? (Round
intermediate values to 3 decimal points. Round...
An apple orchard farmer wants to know the true population proportion of all apples harvested at...
An apple orchard farmer wants to know the true population
proportion of all apples harvested at their farm which have the
less valuable condition of being blemished, or in other words, are
cider apples.
This true population proportion is a parameter value represented
by the symbol p. As a population parameter, this value can
never be known with certainty. It can however, be estimated with
varying levels of confidence.
To estimate this parameter p, the farmer draws a simple
random...
Suppose the prime minister wants an estimate of the proportion of the population who support his...
Suppose the prime minister wants an estimate of the proportion
of the population who support his current policy on health care.
The prime minister wants the estimate to be within 0.21 of the true
proportion. Assume a 90% level of confidence. The prime minister's
political advisors estimated the proportion supporting the current
policy to be 0.48. (Round the intermediate calculation to 2
decimal places. Round the final answer to the nearest whole
number.)
a. How large of a sample is...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- The following information is available for Robstown Corporation for 20Y8: Inventories January 1 December 31 Materials...
- /* Complete the TO DO comments below */ window.onload = function() { /* TODO add a...
- Trevor Price bought 10-year bonds issued by Harvest Foods five years ago for $4,532.35. The bonds...
- How do you represent 5.1 (5 + 1/10) in binary? I know that it is 0101....
- More and more adults are considering commuting to work by bicycle rather than car, but few...
- Please answer these questions Data Processing and Analysis using python. Thank you In statistics, an outlier...
- Write a function file that accepts each of the four vectors as inputs. The function file...
ADVERTISEMENT