Question

In a representative sample of 723 coffee growers from Country​ X, 377 growers were certified to sell to organic coffee markets while 99 growers were transitioning to become organic certified. In Country​ Y, 69​% of coffee growers are organic certified. Is there evidence to indicate that fewer than 69​% 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.

What are the hypotheses for this​ test?

A. H0​: p = 0.69

Ha​: p > 0.69

B.H0: p = 0.69

Ha: p < 0.69

C. H0​: p ≠ 0.69

Ha​: p = 0.69 .

D. H0​: p < 0.69

Ha​: p = 0.69

E. H0​:p = 0.69

Ha​: p ≠ 0.69

F. H0​: p > 0.69

Ha​: p ≤ 0.69

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.)

What is the conclusion of the​ test?

Reject Do not reject the null hypothesis because the​ p-value is greater than less than

the the probability of making a Type I error.​ Therefore, there is insufficient, sufficient evidence to indicate that fewer than 69%of the coffee growers in Country X are either organic certified or transitioning to become organic certified.

Answer 1