The decision by “Saturday Night Live” to invite Donald J. Trump as its host this week is no laughing matter — at least for the Hispanic and pro-immigration groups that have intensified their calls for Lorne Michaels, the show’s producer, to rescind the invitation.

On Wednesday, more than a dozen of the nation’s leading Hispanic groups are planning to hold a “Dump Trump” rally outside 30 Rockefeller Plaza, where “Saturday Night Live” is taped. Latino and immigration groups also plan to deliver a petition, with 460,000 signatures, calling on NBC Studios and Mr. Michaels to drop Mr. Trump.

The groups have cited comments by Mr. Trump dismissing some Mexican immigrants as criminals and “rapists.”

On Monday, the Congressional Hispanic Caucus issued a statement also calling on NBC Universal and Mr. Michaels “to disinvite Mr. Trump”