Question

Which of the following statements is **true** with
regards to a confidence interval?

Select one:

a. The true population value is always inside the constructed interval

b. Most calculations of confidence intervals require a point estimate and the margin of error

c. Given the same confidence level, building a t-interval is always narrower than a z-interval

d. A 90% confidence interval means there is a 90% chance the population value is within the constructed interval

e. You need to know the true population mean value in order to construct the z-interval

Answer #1

1. False, the confidence interval contains true parameter with a certain probability

2. True, we need margin of error and point estimate, then Confidence interval is point estimate plus,minus margin of error.

3.false, t interval will be broader than z interval as the graph of t is wider at tails than the graph of standard normal.

4. True, this exactly is the definition of confidence interval

5. False, there is no point of construing a confidence interval if we already know population mean. We need population variance to construct z interval.

1 - Which of the following statements is true regarding a 95%
confidence interval? Assume numerous large samples are taken from
the population.
a. In 95% of all samples, the sample proportion will fall within 2
standard deviations of the mean, which is the true proportion for
the population.
b. In 95% of all samples, the true proportion will fall within 2
standard deviations of the sample proportion.
c. If we add and subtract 2 standard deviations to/from the sample...

Which of the following statements is true about the confidence
interval for a population proportion?
Group of answer choices:
(A) It is equal to the population proportion plus or minus a
calculated amount called the standard error.
(B) It is equal to the sample proportion plus or minus a
calculated amount called the margin of error.
(C) The confidence interval for a proportion will always contain
the true population proportion.
(D) The confidence interval for a proportion does not need...

1- Which of the following statements is true?
I. For a certain confidence level, you get a higher margin of
error if you reduce your sample size.
II. For a given sample size, increasing the margin of error will
mean higher confidence.
III. For a fixed margin of error, smaller samples will mean
lower confidence.
I only
II only
III only
II and III only
All of them
----------------------------------
2- Which must be true about a 90% confidence interval based...

Select all the ways that one could correctly write a confidence
interval.
( ) point estimate ± margin of error
( ) point estimate ± SE
( ) [0.035, 0.145]
( ) pˆ±1.96*SE
From what I've found is that:
Confidence intervals are also often reported as: point
estimate ± margin of error
The confidence intervals we have encountered thus far have taken
the form: point estimate ± z* ×SE (z*= zscore)
Evaluate the CI and write in the form (___,___). ( CI=Confidence
Intervals)...

True or False:
1. A confidence interval is used for estimating a population
parameter.
2. A confidence interval always captures the sample
statistic.
3. A confidence interval always captures the population
parameter.
4. When constructing a confidence intervals we should always use
Z-critical values.
5. The margin of error determines the center location of the
confidence interval.
6. In general, we would like to have a precise confidence
interval while having a high level of confidence.

The sample mean always lies at the center of the
confidence interval for the true population mean ( µX
).
The sample mean is also known as the best point estimate
for µX .
The true population mean is always in a 90% confidence
interval for µX .
If one-hundred (100) 95% confidence intervals for µX are
created from some population, the true population mean is likely to
be in approximately 95 of these 100 confidence
intervals.

Which of the following statements about confidence intervals are
true?
I. A 95% confidence interval will contain the true μ 95% of the
time.
II. If P(|X̅ − μ| > 3) = 0.035. Then a value of μ that is 3
or less units away from X̅ will be included in the 99% confidence
interval.
III. The point estimate X̅ will be included in a 99% confidence
interval.

Find a 90% confidence interval for a population mean ?
for these values. (Round your answers to three decimal places.)
(a)
n = 145, x = 0.88, s2 =
0.084
to
(b)
n = 70, x = 25.6, s2 =
3.49
to
(c)
Interpret the intervals found in part (a) and part (b).
There is a 10% chance that an individual sample proportion will
fall within the interval.There is a 90% chance that an individual
sample proportion will fall within...

Find a 90% confidence interval for a population mean ?
for these values. (Round your answers to three decimal places.)
(a)
n = 130, x = 0.85, s2 =
0.084
to
(b)
n = 40, x = 20.1, s2 =
3.86
to
(c)
Interpret the intervals found in part (a) and part (b).
There is a 10% chance that an individual sample proportion will
fall within the interval.In repeated sampling, 10% of all intervals
constructed in this manner will enclose...

Question 1.
Which of the following is the CORRECT interpretation of a 95%
confidence interval?
a) There is a 95% probability that the interval contains the
population value
b) There is a 95% chance that the true population value is
inside the interval
c) if we sampled from a population repeatedly and created
confidence intervals, 95% of those confidence intervals would
contain the population mean
d) We are 95% sure of the sample statistic
Question 2.
What is the mean...

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