Aimee and Charlie Cotherman, of Oil City, Pa., said that ahead of their trip to Orlando last week, they were worried about the coronavirus, but decided to still visit with their children, ages 8, 6 and 3, as well as their two-month-old baby, because “percentages are in our favor,” Mr. Cotherman said, referring to the low number of children infected.

“We were worried about coronavirus as we saw things closing down and hoped we could still get our trip in,” Ms. Cotherman said, adding that her family was washing their hands and using hand sanitizer regularly.

Corey Higgins, a mother of two who was at the park with her husband and children for the third time in her life, said she noticed additional hand sanitizer around the park and felt like she saw more people cleaning around the park.

“Me and my husband have been monitoring things, but didn’t feel like we needed to cancel our plans,” she said. “We have wipes, we have hand sanitizer, we aren’t elderly and honestly, if you’re going to get it, you’re going to get it. If I’m going to get sick and die, I might as well do it at Disney World.”

Other theme parks

At Universal Studios, the path from the parking lot to the security check point had a number of hand sanitizer dispensers that people paused to use while walking in and out of the park. At security, guests had to put their belongings into security bins and have their finger scanned on a touch screen pad, like at the Magic Kingdom, but many said this didn’t bother them because hand sanitizer was nearby. Lines to enter the Wizarding World of Harry Potter were long, with people dressed in costume.

“We are reviewing and enhancing our already aggressive cleaning protocols,” Alyson Lundell, senior director for public relations at Universal Orlando Resort, said in an email. “And for the comfort and convenience of our guests, we are increasing the number of hand sanitizer units in our parks.”

On social media groups frequented by people planning Disney vacations, anxiety seemed to rise as some questioned whether to visit the parks and others speculated about whether Disney’s American parks would follow in the path of Disney’s Hong Kong and Shanghai parks, which closed in February.