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igomit [66]
3 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]3 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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\\ \sf\longmapsto A=(1-4)-(2+1)

\\ \sf\longmapsto A=-3-3

\\ \sf\longmapsto A=-6

\\ \sf\longmapsto B=(3-\dfrac{1}{2})-(2-4)

\\ \sf\longmapsto B=\left(\dfrac{5}{2}\right)+2

\\ \sf\longmapsto B=\dfrac{5+4}{2}

\\ \sf\longmapsto B=\dfrac{9}{2}

Now

\\ \sf\longmapsto AB=-6\times \dfrac{9}{2}

\\ \sf\longmapsto AB=-3(9)

\\ \sf\longmapsto AB=-27

BA

\\ \sf\longmapsto \dfrac{9}{2}\times (-6)

\\ \sf\longmapsto 9(-3)

\\ \sf\longmapsto -27

Observed:-

\\ \sf\longmapsto AB=BA

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3 years ago
In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 28 vowels and 12 consonants, wha
ohaa [14]
With replacement:

P(C,V)=(12/40)(28/40)

P(C,V)=336/1600

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3 years ago
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Then known number in an algebraic expression is
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Unsure of what you're asking.  

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3 years ago
What does 4 5/8 - 1 2/5 equal?
mihalych1998 [28]

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2 years ago
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nevsk [136]

Answer:

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

Step-by-step explanation:

These are the steps Diego should follow to find 4 1/5 - 7/10:

Step 1: Convert all mixed numbers into improper fractions.

4 1/5 = 21/5 - 7/10

Step 2: Find a common denominator between the improper fractions. When necessary, create equivalent fractions.

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Step 3: Add or subtract the numerators and keep the denominator the same.

42 - 7 = 35/10

Step 4: If the answer is an improper form, reduce the fraction into a mixed number.

35/10 = 3 5/10 = 3 1/2

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

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4 years ago
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