Question

In a representative sample of 775 coffee growers from Country​ X, 346 growers were certified to sell to organic coffee markets while 96 growers were transitioning to become organic certified. In Country​ Y, 59​% of coffee growers are organic certified. Is there evidence to indicate that fewer than 59​% 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?

A.H0​:p>0.59 Ha​:P≤0.59

B. H 0 :=0.59   Ha: p<0.59

C.H0​:=P0.59 Ha​:P>0.59

D.H0​:P=0.59 Ha​: P≠0.59

E.H0​:<0.590.59 Ha​:P =0.59

F. H0​:P≠0.59  Ha​:P=0.59

Answer 1

Answer: B. H0: p = 0.59; Ha: p < 0.59

Solution:

For the given scenario, the null and alternative hypotheses are given as below:

Null hypothesis: H0: About 59 % of the coffee growers in Country X are either organic certified or transitioning to become organic ​certified.

Alternative hypothesis: Ha: Less than 59 % of the coffee growers in Country X are either organic certified or transitioning to become organic ​certified.

Symbolically, these hypotheses are given as below:

H0: p = 0.59

Ha: p < 0.59

Answer: B. H0: p = 0.59; Ha: p < 0.59