Confidence levels, significance levels and critical values
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Intros
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Examples
Lessons
- Finding the Critical Value
With a significance level of what is the resulting critical value of: - Find the critical value from the following confidence levels for a right-tailed test:
- Rejecting or Failing to Reject the Null Hypothesis
The following Null Hypothesis and Alternative Hypothesis have been derived from a statement:
:
: >
Using a significance level of (which corresponds to a critical value of ), and a Z-score of relating to our Null Hypothesis;
Can we reject the Null Hypothesis? - The following Null Hypothesis and Alternative Hypothesis have been derived from a statement:
:
: <
Using a 95% confidence level and a Z-score of Z=-1.50 relating to our Null Hypothesis;
Can we reject the Null Hypothesis? - The following claim is made.
"70% of Canadians own a pet".
Given that the test-statistic is Z=2.75, with a confidence level of 90% what can be said about the proportions of pet owners in Canada?