Sofia Vergara is probably the most recognizable Hispanic actress working in English-language television. She is one of the stars of “Modern Family,” the highest-rated scripted show on network television, and she has parlayed her celebrity into commercials for brands like Pepsi and Cover Girl.


Despite her popularity, “Modern Family” is not a hit with Hispanic viewers. Out of its overall viewership of 12.9 million, “Modern Family” drew an average of only about 798,000 Hispanic viewers in the season. That audience accounts for only about 6 percent of the show’s viewers — less than half of what you might expect given the 48 million Hispanic television viewers that Nielsen measures.


The same pattern can be seen on other top network shows: “Two and a Half Men” on CBS averaged 611,000 Hispanic viewers out of an average total of 14.6 million viewers. “Grey’s Anatomy” on ABC averaged 583,000 out of 10.9 million. “Glee” on Fox averaged 518,000 out of 8.7 million. And “NCIS” on CBS averaged 509,000 out of 19.1 million.


The numbers encapsulate the problem facing English-language television executives and advertisers: they desperately want to appeal to the more than 50 million Latinos in the United States, especially those who are young, bilingual and bicultural, but those viewers seem to want very little to do with American English-language television.


They do, however, continue to watch Spanish-language networks in huge numbers. In May, on the final night of the most recent season of “Modern Family,” far more Hispanic viewers were watching the top Spanish language show that week, the telenovela “La Que No Podía Amar,” on Univision, which attracted 5.2 million viewers.


“We’re part of the fastest-growing demographic in the country,” said Randy Falco, the president and chief executive of Univision. The company recently entered into a partnership with ABC News, which is owned by the Walt Disney Company, to create a 24-hour news channel to serve Hispanic viewers.


At this spring’s upfronts, the meetings hosted by network executives to sell advertising airtime, there were nine presentations to advertisers by broadcast and cable channels including ESPN and Discovery aimed at creating content for Hispanic viewers. In 2011, there were only five such presentations.


The list of top English-language shows watched by Hispanics is headed by the same competition shows as among the total audience, with “Dancing With the Stars,” and “American Idol” faring best this spring, while “Sunday Night Football” was the leader in the fall.


But the discrepancy between English and Spanish language shows is most acute among shows that are scripted in English. The issue, many viewers and critics argue, is that there still hasn’t been the Hispanic equivalent of “The Cosby Show,” meaning a show that deals with Latino culture in a way that doesn’t offend viewers with crude stereotypes.


This winter, CBS hoped to have a cross-cultural hit with the show “Rob” featuring the comedian Rob Schneider. The show, based loosely on Mr. Schneider’s own life, showed his experiences of marrying into a Mexican family and the culture clashes that ensued. But the chief conflict ended up being between the show and its intended viewers.


“Big family,” said Mr. Schneider’s character, when he meets his wife’s family for the first time. “Now I know what’s going on during all those siestas.” In another scene, the character Hector, played by Eugenio Derbez, tells Rob that he is visiting from Mexico. Then he gets closer to Rob and whispers, “I’m not leaving,” and after pausing for effect adds, “Ever.”


For Joe Zubizarreta, the co-owner and chief operating officer of the advertising agency Zubi Advertising, with headquarters in Miami, the comedic devices used in “Rob” were too much. “They’ve used just about every stereotype they could in the pilot,” Mr. Zubizarreta said. “I understand that the general market taste will find humor in the idiosyncrasies of Hispanics. But as Hispanics, when we watch general market television, we’d like to see some semblance of reality to our lives.”


For Julio Ricardo Varela, the founder of the Web site Latino Rebels, both the content of “Rob” and how it was marketed relied too much on stereotypes.