That survey was sent to 10,000 members of the AAAS, the compilation of which is a mystery, and it got a 25% response rate.
It automatically excluded members not residing in The United States.
It also excluded any member currently engaged in educational roles below tertiary level.
It also noted (with surprising surprise) that compared to the source population, the proportion of students was highly underrepresented in the respondent sample, and the proportion of emeritus level respondents was highly overrepresented, for reasons that may be apparent.
Regarding the accuracy of the findings, in the methodology appendix The Pew Research Centre also note that "In addition to sampling error, one should bear in mind that question wording and practical difficulties in conducting surveys can introduce error or bias into the findings of opinion polls."
Given the voluntary response regime (despite triple-follow-up contact to those who had failed to respond) the survey is not something you should be using as evidence that the majority of the 120,000 members of the AAAS believe in a higher power. The only thing you can be sure of, is that 51% of the 2,500 that chose to respond to the voluntary survey that included a question about whether or not there is a God, answered in the affirmative.
Suggesting that this survey represent the world view of science is just plain propaganda, fake news, call it what you will.
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