Question
In: Statistics and Probability
5) Let's examine the relationship between CI's and hypothesis tests: (a) You calculate a 90% confidence...
5) Let's examine the relationship between CI's and hypothesis tests: (a) You calculate a 90% confidence interval for μ and come up with (-10, 26). If you test H0: μ = 27 and use α = .10, will you reject H0? Why or why not? (b) Now you calculate a 95% CI for μ and come up with (3, 7). If you test H0: μ = 9 and use α = .10, will you reject H0? Why or why not? (c) Finally, you calculate a 95% CI for for μ and come up with (-34, -28). If you test H0: μ = - 27 and use α = .01, will you reject H0? Why or why not?
6) (a) Suppose you test a new medication and reject the null hypothesis (you conclude it works). What kind of error could you have made? (b) Again, you test a new medication and you fail to reject the null hypothesis (you conclude it does not work). What kind of error could you have made?
Solutions
orchestra answered 2 years agoRelated Solutions
Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level...
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...
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...
Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level...
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...
Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level...
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...
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...
Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level...
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...
Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level...
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 −
αconfidence interval...
please describe with examples the relationship between confidence intervals and hypothesis testing.
please describe with examples the relationship between
confidence intervals and hypothesis testing.
Perform hypothesis tests and confidence intervals for one coefficient
Perform hypothesis tests and confidence intervals for one
coefficient
Let's examine your ability to calculate NPV. Let's assume a piece of equipment has an implied...
Let's examine your ability to calculate NPV. Let's assume a
piece of equipment has an implied discount rate of 8% and an
initial cost of $1,000,000. The piece of equipment is expected to
generate positive cash flows in years 1-3 of $150,000 and years 4-6
of $200,000 and $300,000 in year 7. Let's also assume that you have
to spend $150,000 in year 4 in order to maintain this piece of
equipment. What is the project's NPV? (ignoring income taxes)....
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