When we removed the neutral option in a June 2016 national survey that we fielded, the results were even less favorable to Trump: 33 percent of the public thinks that transgender people should not be allowed to serve openly and 67 percent think they should.

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But would a ban on transgender military service play well in key areas of the country? That’s what at least one Trump administration official thinks:

However, this is not the case, either. Using the June 2016 survey data, we estimated the opinion in all 50 states and the District of Columbia using a statistical technique known as multilevel regression and poststratification, which provides a way to estimate state-level opinion from national surveys.

We found that there is no majority support for Trump’s proposal in any state or the District of Columbia. The graph below shows the results.

The state with the most support for Trump’s proposal was Wyoming, where we estimate that 45 percent agreed with Trump. In the Rust Belt states such as Ohio, Michigan and Wisconsin cited by the Trump official, less than 33 percent thought that transgender people should not be allowed to openly serve in the military.

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Even in states that are more socially conservative, support for transgender military service exceeded opposition. For example, in Mississippi, 64 percent supported transgender military service and 36 percent opposed it.

There is doubt that transgender rights can be an effective wedge issue. We agree. Democratic senators are unlikely to be harmed by supporting open transgender military service. Indeed, given these findings, it is not surprising that even some Republican senators, such as Orrin G. Hatch (Utah) and Richard C. Shelby (Ala.), have criticized Trump on this issue.

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