in a representative sample of 812 coffee growers from Country X, 392 growers were certified to sell to organic coffee markets while 84 growers were transitioning to become organic certified. In Country Y, 62% of coffee growers are organic certified. Is there evidence to indicate that fewer than 62% of the coffee growers in Country X are either organic certified or transitioning to become organic certified? State your conclusion so that there is only a 1% chance of making a Type 1 error, that is, consider a significance level,=0.01.

A normal distribution is used to carry out the appropriate hypothesis test.

What is thenull standard error used to calculate the test statistic for this hypothesis test? Give your answer to 4 decimal places.