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…

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.)

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