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 a 1% chance of making a Type 1 error. Assume a normal distribution is used to carry out the appropriate hypothesis test.

What is thetest statisticfor this hypothesis test? Give your answer to4 decimal places.