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igomit [66]
2 years ago
15

A researcher asks random samples of residents of two separate counties as to whether they had purchased organically grown food i

n the last three months. He wants to determine whether the proportion of residents of one county who purchase organically grown food is greater than the proportion of residents of the second county who purchase organically grown food. Choose the appropriate test and name the population(s).
Mathematics
1 answer:
Leni [432]2 years ago
7 0

Answer:

2 proportions z test

The two populations are named as residents from the first county and residents from the second county.

Step-by-step explanation:

This is testing hypothesis about the difference between two proportions.

When the proportions are tested if they are the test statistic

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂

where p^1 is the proportion of success in the first sample and   p^2 of size n₁   is the proportion of success in the second sample of size n₂ with unknown proportions of successes p1 and p2 respectively.

When the sample sizes are sufficiently large

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂ is approximately standard normal.

The two populations are named as residents from the first county and residents from the second county.

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Sarah planted two1 acre gardens one had three sections of flowers and the other had 4 sections of flowers she plans to divide bo
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Each garden will have 12 sections of flowers
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3 years ago
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Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves
liberstina [14]

Answer:

the cost of a liter of milk is $0.75

the cost of a loaf of bread is $1.75

Step-by-step explanation:

Let

x------> the cost of a liter of milk

y------> the cost of a loaf of bread

we know that

------> equation A

------> equation B

Multiply equation A by

-------> equation C

Multiply equation B by

------> equation D

Adds equation C and equation D

Find the value of x

substitute the value of y in the equation A

4 0
3 years ago
Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw
iren2701 [21]

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is \frac{2}{5}.

Step-by-step explanation:

It is provided that:

  • Eric throws a biased coin 10 times. He gets 3 tails.
  • Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

  • P(\text{Tail})=\frac{3}{10}
  • P(\text{Tail})=\frac{20}{50}=\frac{2}{5}

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

P(\text{Tail})=\frac{20}{50}=\frac{2}{5}

Thus, the probability that Aadi will get Tails is \frac{2}{5}.

7 0
3 years ago
Read 2 more answers
Parallelogram R S T U is shown. Angle S is 70 degrees.
olya-2409 [2.1K]

Answer:

<h3>B. m∠R = 110°, m∠T = 110°, m∠U = 70°</h3>

Step-by-step explanation:

The opposite angles of the parallelogram are the same.

From the diagram;

<S = <U and <R = <T

Given

<S = 70°

Since <S = <U, hence <U = 70°

Since the sum of angles in a quadrilateral is 360 degrees, hence;

<R+<S+<T+<U = 360

Since <R = <T, then;

<Y+<S+<T+<U = 360

2<T + 70+70 = 360

2<T = 360-140

2<T = 220

<T = 220/2

<T = 110°

Since <T = <R, then < R = 110°

Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct

4 0
3 years ago
Read 2 more answers
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