The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%. Determine the P-value of the test statistic. Round your answer to four decimal places.

p-value of the statistics = 0.0096

Step-by-step explanation:

Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.

To find - Determine the P-value of the test statistic.

Proof -

Given that,

H0 : p = 0.44

Ha : p > 0.44

Now,

Test Statistics is

z = (p bar - p)/ sqrt(p(1-p)/n)

  = (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)

  = 2.34

⇒z = 2.34

So,

p-value = P(Z > z)

             = P(Z > 2.34)

             = 0.0096

⇒p-value = 0.0096

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: