Question

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?

Answer #1

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...

If you use a 0.05 level of significance in a two-tail
hypothesis test, what decision will you make if Z STAT=
-/+1.86?

State the null and alternate hypothesis.
Will you use a left tail, right tail or 2 tailed test?
Identify the sampling distribution to be used: standard normal,
Student’s t or chi squared.
Find the value of the test statistic.
Find the P-Valu
Based on your answers, shall we reject or accept the null
hypothesis?
Write the conclusion in the context of the problem.
Flying time on an old route between 2 cities has a mean
value of =5.25 hours with...

If you use a 0.05 level of significance in a two-tail
hypothesis test, what decision will you make if ZSTAT=+2.09?

If you use a 0.05 level of significance in a two-tail
hypothesis test, what decision will you make if ZSTAT =
-2.25?

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...

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...

What is the relation between level of significance and level of
confidence?

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...

Flying time on an old route between 2 cities has a mean value of
=5.25 hours with standard deviation is =0.6 hours. There are 36
flights on a new route where the mean is hours. Does this indicate
that the average flying time for the new route is less
than 5.25 hours? Use a 5% level of significance.
State the null and alternate hypothesis.
Will you use a left tail, right tail or 2 tailed test?
Identify the sampling distribution...

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