In a representative sample of 810 coffee growers from Country X, 437 growers wer
ID: 3219119 • Letter: I
Question
In a representative sample of 810 coffee growers from Country X, 437 growers were certified to sell to organic coffee markets while 61 growers were transitioning to become organic certified. In Country Y, 65% of coffee growers are organic certified. Is there evidence to indicate that fewer than 65% 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 5% chance of making a Type I error.
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.)
Explanation / Answer
The statistical software output for the given problem is:
One sample proportion hypothesis test:
p : Proportion of successes
H0 : p = 0.65
HA : p < 0.65
Hypothesis test results:
Hence,
z = - 6.59
p - value = 0.000
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 437 810 0.53950617 0.016759003 -6.5931025 <0.0001Related Questions
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