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In: Math
The fact that confidence intervals and hypothesis tests are both used to determine statistical significance means...
The fact that confidence intervals and hypothesis tests are both used to determine statistical significance means that they can be used interchangeably and give us the same information.
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Rationale:
Solutions
Expert Solution
The fact that confidence intervals and hypothesis tests are both used to determine statistical significance means that they can be used interchangeably and give us the same information.
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Rationale: In both ways we have the same null hypothesis.
When using the confidence interval, we check whether null hypothesis value lies within the calculated range or not. We will then reject the null hypothesis.Eg.95% confidence interval is calculated and the null hypothesis value is not within the range that means only 5% of the times the null hypothesis will be true which is sufficient to reject it.
When using p-value method.We calculate the probability of null hypothesis being true (p-value). If this is less than level of significance again it would mean only 5% of the times the null hypothesis will be true which is sufficient to reject it.
These methods can therefore give difference answer.
milcah answered 9 months agoRelated Solutions
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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...
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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...
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