Question

Select the correct answer for the following two questions:

1.The length of a 95% confidence interval is _____ the length of a 90% confidence interval

A. longer than

B. equal

C. shorter than

D. half

2. if a p-value for a hypothesis test = 0.02, that means that approximately ___ of the time, we will correctly fail to reject a true null hypothesis.

A. 2%

B. 98%

C. 95%

D. 5%

Answer #1

Question 1

The length of a 95% confidence interval is **longer
than** the length of 90% confidence interval.

(Because as confidence level increase, the critical value which we multiply to standard error increase.

Margin of error= critical value * SE. Bigger value is subtracted from mean so length of the confidence interval increase.)

Question 2

If a p value for hypothesis test=0.02, that means that
approximately **95%** , we will correctly fail to
reject a true null hypothesis.

(Type 1 error- rejecting null hypothesis when it is true.

And 1- type 1 error is fail to reject the null hypothesis when it is true. Here type 1 error is set to 5% hence 1-0.05=0.95)

1a. Suppose the value a is inside the 90% confidence interval
for a coefficient in an estimated regression. Suppose one were to
test the hypothesis that the coefficient is equal to a against the
two sided alternative that it is not equal to a. Which of the
following is a correct statement?
I would not reject the null at the 10% significance level
I would reject the null hypothesis at the 5% level of
significance
I would reject the null...

An estimated regression coefficient is equal to 0.5. What is the
confidence level associated with the one sided interval(0.5,∞)?
a. 50%
b. 95%
c. 100%
d. 90%
Suppose a hypothesized slope value is not contained in the 95%
confidence interval. If one were test the hypothesis at the 10%
level which of the following statements are correct?
a. I would reject the null hypothesis
b. I would not reject the null hypothesis
c. I need more information
Suppose the value...

A 95% confidence interval for the mean trading
achievement score for a population of third grade students is
(44.2, 54 2). Suppose you compute a 99% confidence interval using
the same information. Which of the following statements are
correct?
The intervals have the same width
The 99 percent interval is shorter
The 99 percent interval is longer
Answer can't be determined
None of the above

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...

Q10. If population mean is included in the 95% confidence
interval then
a. 99% confidence interval will always include the mean
b. 90% confidence interval will never include that mean
c. 99% confidence interval will never include that mean
d. 90% confidence interval will always include the mean

A 95% confidence interval…
Group of answer choices
is an example of a point estimate.
should always be centered on the population mean (µ).
provides less information than the corresponding hypothesis
test.
All of the options listed above correctly complete the
sentence.
None of the options listed above correctly complete the
sentence.

Use the standard normal distribution or the t-distribution to
construct a
95%
confidence interval for the population mean. Justify your
decision. If neither distribution can be used, explain why.
Interpret the results. In a random sample of
fortyone
people, the mean body mass index (BMI) was
27.7
and the standard deviation was
6.24
Which distribution should be used to construct the confidence
interval? Choose the correct answer below.
(Use a t-distribution because the sample is random n>=30, and
o is...

Utilize the following information and answer the questions
below: A 95% confidence interval obtained from a sample of 100
outpatients for the true population mean normal mean systolic blood
pressure is given by (114 mmHG, 120 mmHG).
Construct the confidence interval. Provide a correct
interpretation of this interval. Can you think of other
interpretations that would also be correct?
This confidence interval came from a single sample, would we get
the same interval if we obtained a different set of...

1. From the following confidence interval for µ1 - µ2: [-0.32,
0.86], the following can be concluded
Select one:
a) That there is no significant difference between the means of
both populations
b)That both stockings are small
c)That µ2 is greater than µ1
d)That µ1 is greater than µ2
2. If a confidence interval is constructed at a confidence level
of 99% instead of 95%
Select one:
a)Estimation precision decreases
b)The precision of the estimate is not altered
c)Estimation accuracy...

If (14.5, 33.708) is a 95% confidence interval for a population
mean, which of the following would be a 98% confidence interval
calculated from the same set of sample data that was used to create
the 95% confidence interval above? Round your answer to three
decimal places.
a-(12.707, 35.501)
b-(12.809, 39.191)
c-(11.482, 36.726)
d-(14.617, 31.683)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 50 seconds ago

asked 4 minutes ago

asked 5 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 9 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 15 minutes ago