In a representative sample of 838838

coffee growers from Country X, 405405

growers were certified to sell to organic coffee markets while 8181

growers were transitioning to become organic certified. In Country Y, 6262%

of coffee growers are organic certified. Is there evidence to indicate that fewer than 6262%

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 55%

chance of making a Type I error.

What are the hypotheses for this test?

A.

H0:

pless than<0.620.62

Ha:

pequals=0.620.62

B.

Upper H 0 : p equals 0.62H0:p=0.62

Upper H Subscript a Baseline : p less than 0.62Ha:p<0.62

C.

H0:

pequals=0.620.62

Ha:

pnot equals0.620.62

D.

H0:

pequals=0.620.62

Ha:

pgreater than>0.620.62

E.

H0:

pgreater than>0.620.62

Ha:

pless than or equals0.620.62

F.

H0:

pnot equals0.620.62

Ha:

pequals=0.620.62

Calculate the value of the z-statistic for this test.

zequals=nothing

(Round to two decimal places as needed.)

Calculate the p-value for this test.

p-valueequals=nothing

(Round to three decimal places as needed.)

What is the conclusion of the test?

RejectReject

RejectReject

Do not rejectDonotreject

the null hypothesis because the p-value is less thanlessthan

greater thangreaterthan

less thanlessthan

the the probability of making a Type I error. Therefore, there is sufficientsufficient

insufficientinsufficient

sufficientsufficient

evidence to indicate that fewer than62 %62%

of the coffee growers in Country X are either organic certified or transitioning to become organic certified.