"earnest expectation" is correct and usable in written English.
You can use "earnest expectation" to refer to an eager or fervent anticipation of something. For example: The children watched the sky in earnest expectation of Santa's sleigh.
But New York offers a deeper sense of youth, too, the earnest expectation that one day, out of the blue, your real, true life will finally begin.
He arrives full of earnest expectation for a transformative experience (a man he encounters in a gay bar quickly gives him the nickname Kuba: "You are pretty, New Worldly, warm, and still Communist")., but his life among his fellow-expats is more complicated than he anticipates.
For all the fevered energy and earnest expectations behind U.S.F.
"Hamas' decision to resume rocket fire will not only put the people of Israel and of Gaza at greater risk, it will do nothing to meet the expectations of the Palestinian people," Mr Earnest said.
"My impression was that there is an earnest desire to live up to voters' and Europeans' expectations that we build a stable government," Hermann Gröhe, secretary general of Ms. Merkel's party, told reporters after the talks.
If this aim should, against all expectation, succeed, the Lusaka procedures could at last get going in earnest.
But I felt stifled by the weight of expectation I'd brought on myself: by the trips to Home Depot and earnest requests from family and friends to know when the wedding would be.
This was the dramatic catharsis the entire season has been building toward, and expectations for the episode were high even before HBO began promoting "Blackwater" in earnest last week.
Even though the "warnings season" has now started in earnest, few companies have cautioned that their second-quarter earnings will fall below the market's expectations.
Analysts say third-quarter earnings reports, which are released in earnest this week, will be crucial in determining whether the market can go higher, although some caution that investor expectations may be becoming too high.
Considering violence and displacement disorients children and creates uncertainty about everyday life (Earnest 2013), it was not surprising that pupils had a strong interest in their school's predictability and cultural expectations.
