in a representative sample of 824 coffee growers from Country X, 421 growers were certified to sell to organic coffee markets while 58 growers were transitioning to become organic certified. In Country Y, 61% of coffee growers are organic certified. Is there evidence to indicate that fewer than 61% 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 I error.
a. Calculate the value of the z-statistic for this test.
z = ? (Round to two decimal places as needed.)
Calculate the p-value for this test.
p-value = ? (Round to three decimal places as needed.)