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# Conditions for a z test about a proportion

Examples showing how to check whether or not the conditions have been met for doing a z test about a proportion.

## Want to join the conversation?

• In my stats class we were taught that in order to be normal the pn and qn had to be greater than or equal to 5. Which way is standard?
• Where did these three conditions initially introduced and explained in this series of video?
I went through the list of content covered under "Statistics and probability" topics, but I couldn't find any. Could anyone send a link please?
• Is it a rule that np,n(1-p)>=10? [For the normal condition to be true]
• When the p-value is being elaborated on, shouldn't it be the population statistic being less or equal the one we calculated for the sample? I guess we are trying to make assumptions about all of the workers?
• Firstly, to clarify, it's called 'statistic' for samples, but 'parameter' for a population.

Secondly, p-value is the probability that a sample statistic will be at least as extreme as the sample statistic we actually measured, on the condition that our null hypothesis is true. At this stage we are comparing sample statistics, real and expected, not a population parameter.
• If we had known what Jules's sample proportion would've been, then when we're testing the normal condition we would have used n*(p_hat) and n*(1 - p_hat) instead of np and n(1-p), right??

From my understanding, we're looking at the conditions for Jules's samples (and thus the sample proportion p-hat which may not necessarily be the same as p), not the population so in the first place it seemed weird to me we were using p in our calculations
(1 vote)
• conduct a hypothesis test to determine if the proportion of business students who were involved in some sort of cheating os less than that of nonbusiness students
(1 vote)
• what is the title "z test" about? thanks.
(1 vote)