# Confidence Interval difference in means Interpretation

I have a negative confidence interval ((-35.346,-8.570) for an independent samples t-test.

I understand confidence intervals for the mean. However, I am uncertain about the interpretation of the confidence interval for a difference in means.

Is this an accurate interpretation? The confidence interval for mean difference in life satisfaction for the two groups is (-35.346,-8.570); as this interval does not contain zero, I can be confident that I have used a method that that will produce significantly different or unequal population means 95% of the time.

Or should I interpret the CI as follows: The confidence interval for mean difference in life satisfaction for the two groups is (-35.346,-8.570); as this interval does not contain zero, I can be 95% confident that the population means are significantly different or unequal.

Is this splitting hairs?

• I would interpret it as 'The population estimate for the difference of the means is statistically significant at the 5% level' – Conta Feb 1 '16 at 14:10
• Thank you. I would interpret this similarly. However, I need to address the CI specifically. – Katja Buckley Feb 4 '16 at 1:20
• @KatjaBuckley why do you think you’re not? – Dave Apr 8 at 23:03