In an SRS of 500 Greek citizens, what is the probability that less than 30% of the sample expect their lives in 5 years to be better than their current lives?

Greeks bucked a global trend in which people in most countries except their lives in five years to be better than their current lives. Even among those countries with much lower current life ratings, greater than optimism was found because people cannot fathom their lives getting worse. But in Greece, only 25% expect their lives to be better in 5 years than currently. In an SRS of 500 Greek citizens, what is the probability that less than 30% of the sample expect their lives in 5 years to be better than their current lives?

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