Suppose you are testing whether there is a statistically significant difference in systolic blood pressure (mmHg)...
Suppose you are testing whether there is a statistically significant difference in systolic blood pressure (mmHg) between a treatment and placebo group; that is, positive values indicate the treatment is more effective than the placebo, and negative values indicate the placebo is more effective than the treatment. The 95% CI is [8, 17] . Based on this interval, did the treatment group outperform the placebo, or vise versa? Should you reject or fail to reject the null hypothesis of no difference between groups? Why?
Homework Answers
The 95% confidence Interval is given as:
Lower limit +Upper Limit
=
Since this interval [8,17] contains only positive values we can
conclude that the treatment group is more effective than the
placebo group and it out performs the placebo group.
Since the null hypothesis in this case will be:
Thus based on this interval we reject our null hypothesis of no difference between the two groups because the confidence Interval does not contain the value zero.
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