Question

suppose we construct a 90% confidence interval for a mean.
This is equivalent to a two-tailed hypothesis test with _______
level of significance

A. 10%

B. 1%

C. 20%

D. 5%

Answer #1

TOPIC:Confidence interval,level of significance.

Is there a relationship between confidence intervals and
two-tailed hypothesis tests? Let c be the level of
confidence used to construct a confidence interval from sample
data. Let α be the level of significance for a two-tailed
hypothesis test. The following statement applies to hypothesis
tests of the mean.
For a two-tailed hypothesis test with level of significance
α and null hypothesis H0: μ =
k, we reject H0 whenever
k falls outside the c = 1
– α confidence interval...

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...

Is there a relationship between confidence intervals and
two-tailed hypothesis tests? Let c be the level of
confidence used to construct a confidence interval from sample
data. Let α be the level of significance for a two-tailed
hypothesis test. The following statement applies to hypothesis
tests of the mean.
For a two-tailed hypothesis test with level of significance
α and null hypothesis H0: μ =
k, we reject H0 whenever
k falls outside the c = 1 − α
confidence...

We would like to construct a confidence interval for the mean μ
of some population. Which of the following combinations of
confidence level and sample size will produce the narrowest
interval?
A)
99% confidence, n = 35
B)
95% confidence, n = 30
C)
95% confidence, n = 35
D)
90% confidence, n = 30
E)
90% confidence, n = 35

We use the t distribution to construct a confidence
interval for the population mean when the underlying population
standard deviation is not known. Under the assumption that the
population is normally distributed, find
t??2,df for the following scenarios. Use Table
2. (Round your answers to 3 decimal places.)
t?/2,df
a. A 95% confidence
level and a sample of 8 observations.
b. A 90% confidence
level and a sample of 8 observations.
c. A 95% confidence
level and a...

Construct a 90% confidence interval to estimate the population
mean when x =62 and s =13.5 for the sample sizes below.
a)
n=20
b)
n=40
c)
n=60
a) The 90% confidence interval for the population mean when
n=20 is from a lower limit of nothing to an upper limit of nothing.
(Round to two decimal places as needed.)

We use the t distribution to construct a confidence
interval for the population mean when the underlying population
standard deviation is not known. Under the assumption that the
population is normally distributed, find
tα/2,df for the following
scenarios. (You may find it useful to
reference the t table. Round your
answers to 3 decimal places.)
tα/2,df
a.
A 90% confidence level and a sample of 11 observations.
b.
A 95% confidence level and a sample of 11 observations.
c.
A...

A 96% confidence interval for the mean is reported as (0.8, 2.3)
for a set of data. Suppose we want to conduct a two-sided
significance test with the null hypothesis Ho: μ = 0
using the computed confidence interval.
1) What level of significance would be used in the test of
significance ?
2) Are the results statistically significant? Fully justify
why/why not.

The commonly used critical Z values are 1.645 for a 90%
confidence interval (or 2-tailed, .10 level of significance), 1.96
for 95% confidence and 2.58 for 99% confidence. If a different
confidence level is required, such as 92%, how can you determine
the critical Z value?
What is the relationship between the confidence level and the
level of significance of a 2-tail test?
Which Hypothesis Tests use Z distributions?
Which Hypothesis Tests use a Student’s t distribution?
Which Hypotheses Tests...

Construct a 90% confidence interval to estimate the population
mean using the data below.
x? = 90
? = 10
n = 30
N = 300
The? 90% confidence interval for the population mean is?
(_,_).

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