What does (statistically) equivalent mean? (Choose all that apply.) Confidence interval of the difference is entirely within the “goal posts” Null hypothesizes of both 1-sided t-tests are rejected Null hypothesizes of both 1-sided t-tests are accepted Two means being statistically equivalent requires they are statistically the same
What does (statistically) equivalent
- Confidence interval of the difference is entirely within the “goal posts”
- Null hypothesizes of both 1-sided t-tests are rejected
- Null hypothesizes of both 1-sided t-tests are accepted
- Two means being statistically equivalent requires they are statistically the same
The term statistically equivalent implies that the mean difference between the two groups are not statistically significant and also if the value of the mean difference between the two groups falls within the confidence interval, this implies that the null hypothesis fails to reject and the groups are considered to be statistically equivalent.
The statistical hypothesis is framed as:
H0: The mean difference between two groups are statistically equivalent.
H1: The mean difference between two groups are not statistically equivalent.
Explanation to incorrect options:
2.
When the null hypothesis fails to reject, in this case, there is enough evidence to claim that the mean difference between the two groups are statistically equivalent.
Hence the option "Null hypothesizes of both 1-sided t-tests are rejected" is incorrect.
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