Soren wrote on Mar 16
th, 2011 at 11:03pm:
You misunderstand (again, yawn).
I mean 'significant' in survey question No.2 to which 97.4 % of respondents said yes:
"2. Do you think human activity is a significant contributing factor in changing mean global temperatures?"
At what statistical point does contribution become 'significant'?
Well that depends on the data type. This is a simple yes, no answer, so it can't be described as 6 sigma (99.9997%) or 3 sigma (99.73%). If they had used one of those annoying scaled agreement surveys (Strongly agree, agree, neutral, disagree, strongly disagree type of thing) they could possibly justify the use of a multiple of standard deviation. You can also build in supplementary questions into the survey that can test the validity of a response even further.
In this case, I'd go with p-value. By the way, I'm impressed that you're asking questions on statistics.
Quote:The amount of evidence required to accept that an event is unlikely to have arisen by chance is known as the significance level or critical p-value: in traditional Fisherian statistical hypothesis testing, the p-value is the probability of observing data at least as extreme as that observed, given that the null hypothesis is true. If the obtained p-value is small then it can be said either the null hypothesis is false or an unusual event has occurred. It is worth stressing that p-values do not have any repeat sampling interpretation.