I checked a few posts on cv, but couldn't get the exact answer. Which test can I use and test if a single proportion (say proportion of choosing a particular item ) from an AB test is significantly different from zero. Here the hypothesis that I am testing is if significantly more people are choosing from the item, when recommended (the other variant is that they are not offered any items). So, wanted to test significance of that proportion vs. 0.
Can I use a one sample Z test ? with population mean as 0 and the sample standard deviation = standard deviation of the proportion that I wanted to test (against 0)
EDIT: actually the test is an email marketing campaign, one campaign variant which has just the viewed item (left in cart) and other that has 3 recommended items along with the viewed item. I wanted to test if significant proportion of people are clicking or buying the recommended items.
Now given this, how can I calculate the statistically significant number of people clicked and viewed (or bought) the recommended items. Also, should if I am testing the significance of the recommended items bookings or views (if the proportion of people viewed are significantly different from zero), should I calculate my sample size based on this (recommended item's conversion) effect size.