Question

ch 23 when comparing proportions from two populations, we make inference about: p1 - p2. p1 + p2. ̂p1 - ̂p2. ̂p1 + ̂p2.

Explanation:

When comparing proportions from two populations, we are interested in the difference between the two sample proportions. The notation for sample proportions is \(\hat{p}\). So we make inference about \(\hat{p}1-\hat{p}2\). The options \(p1 - p2\) refers to population proportions (not sample), \(p1 + p2\) and \(\hat{p}1+\hat{p}2\) are sums (not relevant for comparison of differences).

Answer:

\(\hat{p}1 - \hat{p}2\) (assuming the third option in the original list which is \(\hat{p}1-\hat{p}2\) is the intended correct one as per the reasoning above. If the options are labeled as in the original image (with radio - buttons), the correct option is the one with \(\hat{p}1-\hat{p}2\))