In: Statistics and Probability
Find a reference to a poll or study in recent news (last few weeks ideally, earlier if you must.) Did the author include the margin of error? Is this information important? Why or why not?
i don't understand it. please help!
recent poll :
Did the author include the margin of error?
NO
margin of error :
Z is the z-value for the decided significance level
p = proportion (p(approve)=0.52)
n= no. of participants
Is this information important? Why or why not?
With margin of error, the statistics represented by the survey make sense. If a survey finds that 39% of the respondents watch television while eating lunch, the information is incomplete. When the margin of error is specified, say, 2%, then this means the 39% should be interpreted as 37-41%. This makes complete sense.
However, there are scenarios in statistics when margin of error is unable to take care of the error of the survey. This happens when the survey has poorly designed questions or the respondents have other bias in their answering or are lying for some reason.
P.S. (please upvote if you find the answer satisfactory)