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STA 296 Final Exam Questions And Answers. Verified and Updated. Consider random samples of size 55 from a population with proportion 0.35 . Find the standard error of the distribution of sample proportions. - answerStandard Error= 0.064 Consider random samples of size 120 from a population with...

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STA 296 Final Exam Questions And
Answers. Verified and Updated.

Consider random samples of size 55 from a population with proportion 0.35 . Find the standard
error of the distribution of sample proportions. - answer✔✔Standard Error= 0.064
Consider random samples of size 120 from a population with proportion 0.51 . Find the standard
error of the distribution of sample proportions.Round your answer for the standard error to three
decimal places. - answer✔✔Standard Error= 0.046
Compute the standard error for sample proportions from a population with proportion p = 0.25
for sample sizes of n = 40,

n = 200, and n = 1200. - answer✔✔n=40: 0.0685
n=200: 0.031
n=1200: 0.013

What happens if the sample size goes up? - answer✔✔The standard error goes down

What happens if the standard error goes down? - answer✔✔The sample proportions are less
spread out from the population proportion, so the accuracy is better.
Is the sample size large enough so that the sample proportions follow a normal distribution?

n=400 and p=0.1 - answer✔✔yes
is the sample size large enough so that the sample proportions follow a normal distribution?
n=35

p=0.4 - answer✔✔yes
is the sample size large enough so that the sample proportions follow a normal distribution?
n=40

p=0.25 - answer✔✔yes
is the sample size large enough so that the sample proportions follow a normal distribution?
n=100

p=0.95 - answer✔✔no

EXAM STUDY MATERIALS July 24, 2024 1:33:58 PM

,Use the normal distribution to find a confidence interval for a proportion p given the relevant
sample results.
Give the best point estimate for p, the margin of error, and the confidence interval. Assume the
results come from a random sample.
A 90% confidence interval for p given that p^=0.41 and n=450.
Round your answer for the best point estimate to two decimal places, and your answers for the
margin of error and the confidence interval to three decimal places. - answer✔✔best estimate for
p =0.41
the margin of error=±0.038
90% confidence interval for p= 0.372 to 0.448
Use the normal distribution to find a confidence interval for a proportion p given the relevant
sample results. Give the best point estimate for p, the margin of error, and the confidence
interval. Assume the results come from a random sample.
A 95% confidence interval for p given that p^=0.9 and n=130.
Round your answer for the point estimate to two decimal places, and your answers for the
margin of error and the confidence interval to three decimal places. - answer✔✔best estimate for
p=0.9
the margin of error= ±0.052
the 95% confidence interval for p= 0.848 to 0.952 .
Use the normal distribution to find a confidence interval for a proportion p given the relevant
sample results. Give the best point estimate for p, the margin of error, and the confidence
interval. Assume the results come from a random sample.
A 95% confidence interval for the proportion who will answer ''Yes" to a question, given that 67
answered yes in a random sample of 85 people.Round your answers to three decimal places. -
answer✔✔best estimate for the proportion who will answer yes= 0.788
the margin of error= ±0.087
the 95% confidence interval for the proportion who will answer yes= 0.701 to 0.875


**Note that the margin of error is quite large since the sample size is relatively small.
What sample size is needed to give a margin of error within ±4% in estimating a population
proportion with 95% confidence? - answer✔✔sample size= 601




EXAM STUDY MATERIALS July 24, 2024 1:33:58 PM

, What sample size is needed to give a margin of error within ±2.5% in estimating a population
proportion with 99% confidence? - answer✔✔sample size= 1991
Find a 90% confidence interval for the proportion of household cats in the US that hunt outdoors
- answer✔✔The 90% confidence interval= 0.284 to 0.416
a.) Is it plausible that the proportion of household cats in the US hunting outdoors is 0.45?
b.) Is it plausible that the proportion of household cats in the US hunting outdoors is 0.30? -
answer✔✔a.) no
b.) yes
"Have You Made a Friend Online?"
Find a 99% confidence interval for the proportion, p, of all US teens who have made a new
friend online - answer✔✔The 99% confidence interval= 0.532 to 0.610
"Have You Made a Friend Online?"

Give the best estimate for p and give the margin of error for the estimate. - answer✔✔p^=0.571
margin of error=0.039
Use the interval to determine whether we can be 99% confident that more than half of US teens
have made a new friend online. - answer✔✔yes
generate a bootstrap distribution of sample proportions and find the standard error for that
distribution. Compare the result to the standard error given by the Central Limit Theorem, using
the sample proportion as an estimate of the population proportion p.


Proportion of peanuts in mixed nuts, with n=98 and p^=0.61. - answer✔✔Bootstrap SE=0.049
Formula SE=0.049
generate a bootstrap distribution of sample proportions and find the standard error for that
distribution. Compare the result to the standard error given by the Central Limit Theorem, using
the sample proportion as an estimate of the population proportion p.


Proportion of lie detector trials in which the technology misses a lie, with n=45 and p^=0.433 -
answer✔✔Bootstrap SE= 0.074
Formula SE= 0.074




EXAM STUDY MATERIALS July 24, 2024 1:33:58 PM

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