Bob Dole is leading Bill Clinton in Utah but not by as much as you'd think.

Mike Leavitt is killing Jim Bradley by more than you'd think.And Jan Graham has a large lead over Scott Burns, more than maybe she'd think.

Those are the results of the latest Deseret News/KSL poll in the presidential, Utah governor and Utah attorney general races.

Pollster Dan Jones & Associates threw most of the presidential contenders into one big race and found that Dole is ahead in Utah, getting 46 percent of the vote. Clinton - who finished third in the state in 1992, his worst showing in all 50 states - has 35 percent support. Thus, Clinton is actually within striking range of Dole in conservative Utah at this point.

Ross Perot has surprisingly little support, considering that he finished second to George Bush here in 1992 with more than 27 percent of the vote. Only 7 percent like Perot now. But Perot isn't yet the Reform Party nominee and hasn't been in the news much.

Leavitt continues to be a very popular governor.

A commanding 83 percent of those polled said they planned to vote for him, with 64 percent saying they are definitely in the Leavitt column. Democrat Bradley, a former Salt Lake County commissioner drafted on the final candidate filing day by Democratic Party leaders to run for governor, gets only 11 percent support. That's not any better than Bradley got in a Deseret News/KSL poll conducted several months ago. Bradley joked after that poll that he could only go up. But he hasn't, and it may not be a laughing matter much longer.

Bradley hasn't been campaigning in recent months - he's barely been able to raise any funds.

How bad is Bradley down? A majority - 57 percent - of Democrats say they are going to vote for Leavitt, who of course is a Republican. Leavitt gets 95 percent of the GOP vote and 81 percent of the independent vote, Jones found.

Graham, a first-term Democratic attorney general, has twice the support of Burns, the GOP Iron County attorney who lost to Graham in a close race four years ago.

Burns needs to get people to understand that he's the Republican nominee. Jones found that 37 percent of Republicans said they support Graham, the Democrat. Sixty-four percent of the independents support Graham.

Graham, not known as a conservative, gets 37 percent of the vote of those who said they are "very conservative" politically. She gets 54 percent of the vote of those who said they are "somewhat conservative" politically, Jones found.

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ADDITIONAL INFORMATION

Deseret News/KSL poll

If the election for president of the United States were held today, for which of the following candidates would you most likely vote?

BILL CLINTON 35%

BOB DOLE 46%

ROSS PEROT 7%

RALPH NADER 2%

HARRY BROWNE 1%

OTHER 2%

DON'T KNOW 6%

REFUSE 1%

If the election for governor of Utah were held today and the candidates were Jim Bradley (D) and Mike Leavitt (R), for whom would you vote?

DEFINITELY BRADLEY 6%

PROBABLY BRADLEY 5%

DEFINITELY LEAVITT 64%

PROBABLY LEAVITT 19%

OTHER O%

DON'T KNOW 5%

If the election for attorney general of Utah were held today and the candidates were Jan Graham (D) and Scott Burns (R), for whom would you vote?

DEFINITELY BURNS 13%

PROBABLY BURNS 13%

DEFINITELY GRAHAM 36%

PROBABLY GRAHAM 19%

OTHER 0%

DON'T KNOW 20%

Poll conducted July 8-9, 1996, by Dan Jones & Associates. Copyright 1996 Deseret News.

616 Utah residents.

Margin of error +/-4%.