What method of mathematical statistics is suitable for extracting the correct result from a sample?

Question

Analytics

Good afternoon. There is a task to collect user surveys and determine the correct answers by statistically processing the sample. How is the calculation planned?

• Define and discard selections.
  
• Define fashion.
  
• Somehow make sure that the selected mode is statistically significant and correct. Those. if we have 100 answers and 80 of them say that the value of the parameter A is x and not y, then we can say that the answer A = x is correct and statistically significant. If we have 45 responses saying that A = x and 39 responses saying that A = y then the statement A = x is true but not significant. The sample size should also be taken into account. Those. on 4 answers, of which 3 say that A = x, we cannot assert the significance of the results.
  

The main question is what methods are appropriate for determining the significance of the mode/outcome. Perhaps fashion is not the best option

Answer 1

Significance questions reveal methods for statistical hypothesis testing . You choose the hypothesis that "A is equal to x" and then, based on the sample size and the obtained observed values ​​(distribution of user responses), estimate the probability of error that "we thought that A is equal to x, but in fact it was equal to y " .

Answer 2

Of course, I'm not a pro with statistics, but since everyone is silent, I think this presentation is in the subject: https://stepic.org/media/attachments/lesson/9166/%...

Answer 3

How did you end up solving the problem? Did you manage to find something else on the topic? Very interesting. Tell me, please.