How desperate is Mitt Romney to win Ohio? Before you answer, pay attention to what he and his campaign have been saying about the auto industry in the last few days.

As you may have heard, Romney on Thursday scared the bejeezus out of Ohio autoworkers when, during a rally, he cited a story claiming that Chrysler was moving Jeep production to China. Thousands of people work at a sprawling Jeep complex in Toledo and a nearby machining plant. Many thousands more work for suppliers or have jobs otherwise dependent on the Jeep factories. It’s fair to say that they owe their jobs to President Obama, who in 2009 rescued Chrysler and General Motors from likely liquidation. If Chrysler moved the plants overseas, most of those people would be out of work.

The story turns out to be wrong. As Chrysler made clear the very next day, in a tartly worded blog post on the company website, officials have discussed opening plants in China in order to meet rising demand for vehicles there. They have no plans to downsize or shutter plants in the U.S. On the contrary, Fiat, the Italian company that acquired Chrysler during the rescue, just spent $1.7 billion to expand Jeep production in the U.S. That includes $500 million to renovate and expand the Toledo facilities, with 1,000 new factory jobs likely to follow. On Monday, about the same number of people will report for their first day of work in Detroit, when Chrysler adds a third shift to a Jeep plant it operates there.

Did Romney intend to mislead Ohio voters? I was prepared to give him the benefit of the doubt. Presidential campaigns are chaotic, particularly in their final weeks. Maybe somebody on Romney's staff read the story, which bubbled up in the right-wing press and included a genuinely confusing statement from Fiat, and gave it to the candidate without checking its veracity. But, even after Chrysler clarified its intentions, the Romney campaign refused to answer questions from reporters about the erroneous claim. Now I think I know why: A new Romney ad references the same story.

The campaign does not appear to have announced the ad. The Obama campaign captured video of it, during a broadcast in the Toledo area. Here's how it ends: