In a representative sample of 773 coffee growers from Country​ X, 380 growers were certified to sell to organic coffee markets while 107 growers were transitioning to become organic certified. In Country​ Y, 67​% of coffee growers are organic certified. Is there evidence to indicate that fewer than 67​% 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 10​% chance of making a Type I error.

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In a representative sample of

773

coffee growers from Country​ X,

380

growers were certified to sell to organic coffee markets while

107

growers were transitioning to become organic certified. In Country​ Y,

67​%

of coffee growers are organic certified. Is there evidence to indicate that fewer than

67​%

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

10​%

chance of making a Type I error.

In a representative sample of 773 coffee growers from Country X, 380 growers were certified to sell to organic coffee markets while 107 growers were transitioning to
become organic certified. In Country Y, 67% of coffee growers are organic certified. Is there evidence to indicate that fewer than 67% 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 10% chance of making a Type I error.
What are the hypotheses for this test?
О А. Но: р> 0.67
Hạ: p<0.67
В. Но: р<0.67
Ha: p= 0.67
С. Но: р3D0.67
D. Ho: p= 0.67
Ha: p<0.67
Hại p> 0.67
О Е. Но: р#0.67
Ha: p= 0.67
OF.
Ho: p = 0.67
Hạ: p+0.67
Calculate the value of the z-statistic for this test.
(Round to two decimal places as needed.)
Calculate the p-value for this test.
p-value
(Round to three decimal places as needed.)
What is the conclusion of the test?
the null hypothesis because the p-value is
the the probability of making a Type I error. Therefore, there is
evidence to
indicate that fewer than 67% of the coffee growers in Country X are either organic certified or transitioning to become organic certified.
Transcribed Image Text:In a representative sample of 773 coffee growers from Country X, 380 growers were certified to sell to organic coffee markets while 107 growers were transitioning to become organic certified. In Country Y, 67% of coffee growers are organic certified. Is there evidence to indicate that fewer than 67% 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 10% chance of making a Type I error. What are the hypotheses for this test? О А. Но: р> 0.67 Hạ: p<0.67 В. Но: р<0.67 Ha: p= 0.67 С. Но: р3D0.67 D. Ho: p= 0.67 Ha: p<0.67 Hại p> 0.67 О Е. Но: р#0.67 Ha: p= 0.67 OF. Ho: p = 0.67 Hạ: p+0.67 Calculate the value of the z-statistic for this test. (Round to two decimal places as needed.) Calculate the p-value for this test. p-value (Round to three decimal places as needed.) What is the conclusion of the test? the null hypothesis because the p-value is the the probability of making a Type I error. Therefore, there is evidence to indicate that fewer than 67% of the coffee growers in Country X are either organic certified or transitioning to become organic certified.
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