A 99% confidence interval for the difference between two proportions was estimated at 0.11, 0.39. Based on this, we can conclude that the two population proportions are equal.

Since the confidenc einterval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal

Step-by-step explanation:

Let p1 and p2 the population proportions of interest and let [tex]\hat p_1[/tex] and [tex]\hat p_2[/tex] the estimators for the proportions we know that the confidence interval for the difference of proportions is given by this formula:

[tex]\hat p_1 -\hat p_2 \pm z_{\alpha/2} SE[/tex]

And for this case the confidence interval is given by:

[tex]0.11 \leq p_1 -p_2 \leq 0.39[/tex]

Since the confidence interval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal