WA voters trust Federal Labor leader Bill Shorten more than the Prime Minister to deliver a better GST deal for the State, according to new polling done exclusively for The West Australian.

Just over 52 per cent of 1723 people said they believed Mr Shorten would get a fairer share of the tax carve-up compared with almost 48 per cent who backed Malcolm Turnbull to deliver.

The ReachTel survey results do further damage to the Turnbull Government’s credibility on GST as it heads towards the next Federal election, scheduled for 2019, trailing in the polls.

Closer analysis of the GST issue showed that women trusted Mr Shorten far more — 54.1 per cent compared with 45.9 per cent who had faith in Mr Turnbull.

Men surveyed were almost deadlocked on the question, with 50.2 per cent trusting Mr Shorten and 49.8 per cent believing in Mr Turnbull.

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The survey, done last week, also canvassed overall support for the Federal political parties. Once again the polling shows the Liberal-Nationals Government, which has 11 of the 16 Federal seats in WA, at risk.

When people were asked which parties they supported on a first-preference basis, the Liberals and Nationals received only 36.1 per cent of the vote when combined.

That is a double-digit fall since the ReachTel poll in July last year, which had the two parties securing 48.7 per cent of the vote.

If an election were held today, the poll shows that at least three Federal MPs, including Christian Porter, would lose their seats.

On a two-party preferred basis, the polling has the Liberal-Nationals slightly ahead at 51 per cent to Labor’s 49 per cent.

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But that represents a swing against the Government of 3.6 per cent, meaning Mr Porter’s electorate of Pearce, which he holds by the exact same margin, would fall to Labor.

Similarly, the seat of Swan held by Steve Irons with a 3.6 per cent margin and Ken Wyatt’s Hasluck electorate, which he holds by 2.1 per cent, would be won by Labor. Labor may have some concerns over its first-preference vote in WA because the ReachTel poll puts that at 28.3 per cent, down from 32.5 per cent.

One Nation was the first-preference choice for 9.8 per cent of those surveyed and the Greens polled 12.2 per cent.