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Setler79 [48]
3 years ago
5

The mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 1000

voters in the town and found that 60% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 56%. Find the value of the test statistic. Round your answer to two decimal places.
Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Answer:

5.13

Step-by-step explanation:

Number of sampled workers= n= 1000

Percentage of residents favouring construction= p' = 60% = 60/100= 0.6.

Testing the claim that the percentage of people favouring the construction is more than 56%= p= 56/100 = 0.56.

To calculate the test statistics we use the formula below;

Test statistics= √n (p' - p)/ √[p×(1-p)] -----------(1).

Substituting the value into equation (1) above, we have;

Test statistics= √1000 (0.6-0.56) / √[0.56×(1-0.56)]

Test statistics= (31.62)(0.04) / √0.5(0.44) = 1.2648/ 0.2464

Test statistics= 5.13312

= 5.13 (to 2 decimal places)

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anastassius [24]

Answer:

The number is 12

Step-by-step explanation:

[] First, let's turn all these words into something mathematical. N will equal "my number"

-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.

-> 3(n + 12) = <u>64 more than</u> \frac{2n}{3}

-> 3(n + 12) = 64 +  \frac{2n}{3}

[] Phew, okay. Now it is something we can solve and less scary;

[Given]

3(n + 12) = 64 +  \frac{2n}{3}

[Distribute]

3n + 36 = 64 +  \frac{2n}{3}

[Multiply both sides by 3]

9n + 108 = 192 + 2n

[Subtract 108 and 2n from both sides]

7n = 84

[Divide both sides by 4]

n = 12

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
3 years ago
HELP! IM STUCK!
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Answer:

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Step-by-step explanation:

The equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (h, k) is the center and r is the radius.

The center of the circle is (1, -4).

And the radius is 3.

Substitute:

(x-(1))^2+(y-(-4))^2=(3)^2

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Answer: 0.001

Step-by-step explanation:

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Answer: -9°F

Step-by-step explanation:

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