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1 answer:
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Answer:
The alternative hypothesis is .
The critical value is
Step-by-step explanation:
It is claimed that proportion in favor of proportion A is greater than 60%.
This means that at the null hypothesis, we test if the proportion is of at most 60%, that is:
At the alternative hypothesis, we test if the proportion is more than 60%, that is:
What is (are) the critical value?
The critical value is the value of Z with a p-value 1 subtracted by the standard significance level of 0.05, since we are testing if the mean is more than a value, so, looking at the z-table,
Answer:
10 ounces of milk and 50 ounces of orange juice
Step-by-step explanation:
Let the amount of milk be x ounces and the amount of orange juice be y ounces.
1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.
2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.
<u>Calcium:</u>
20x milligrams in milk
40y milligrams in orange juice
2,200 milligrams in total
Hence,
<u>Vitamin A:</u>
60x micrograms in milk
10y micrograms in orange juice
1,100 micrograms in total
Hence,
Solve the system of two equations:
Divide each equation by 10:
From the second equation:
Substitute it into the first equation: