SOLUTION: the manager of an italian restaurant is considering a carryout food service. however the manager is concerned that not all individuals placing orders by ohone actually pick up orde

Question 930529: the manager of an italian restaurant is considering a carryout food service. however the manager is concerned that not all individuals placing orders by ohone actually pick up order. if 90% or less of phone orders are picked up, it will not have a profitable carry out operation. it can be concluded that more than 90% will have a profitable income. during two week test period, 234 orders in a sample of 250 phone in orders were picked up. using a 0.05 level of significance what conclusion should be made?
so i went ahead and calculated the Z(alpha/2) value and i got 1.96. i also calculated the proportion which had a value of 0.936 (which is represented by p) then i calculated q which was 0.064. i dont know what to do now because the question already gives the interval so what exactly am i supposed to conclude if the interval is already explaining that over 90% is profitable and less than 90% is nnot.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Ho: p ≤ 0.90
Ha: p > .90 (claim)
.........
Sample: p = 234/250 = .936
.....
z (.936) = (.936-.90)/sqrt(.90*.10/250)) = 1.897
P( z > 1.897) = .0289
......
95% confidence level
.0289 < .05
.........
Ho rejected, claim p > .90 accepted
RELATED QUESTIONS
The manager of a restaurant earns $2.25 more each hour than the host of the restaurant.... (answered by fractalier)

The manager of a restaurant determined that the odds against a customer ordering dessert... (answered by Edwin McCravy)

A restaurant manager wants to order more glasses. The ratio of the number of water... (answered by TimothyLamb)

The manager of a shopping mall observes how many adults and children enter the food court (answered by stanbon)

The General Store at State University is an auxiliary bookstore located near the... (answered by richwmiller)

The manager of a restaurant in a commercial building has determined that the proportion (answered by ewatrrr)

A manager of a restaurant knows that about 40% of customers order at least one... (answered by Boreal)

A pizza restaurant manager claims that the average home delivery time for their pizza is (answered by stanbon)

Of all the people applying for a certain job, 80% are qualified and... (answered by Fombitz)