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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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8 0
2 years ago
Samantha gathered the following information on a given day at the dog park.
Luda [366]

The number of dogs that are not puppies is 17, the number of adult dogs without long hair is 6, the number of puppy dogs with long hair is 8 and the number of puppy dogs without long hair is 7.

<h3>What is the information missing?</h3>

To complete the chart it is necessary to determine:

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  • Number of adult dogs without long hair

Number of dogs that are not puppies:

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Adult dogs without long hair:

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Puppy dogs with and without long hair

Total of puppy dogs = 15, this number can be obtained by adding 9+6 or 7+8. From these combinations, the only one that meets the rule "There are 6 more dogs that have long hair than dogs that do not have long hair" is 8 puppies with long hair and 7 puppies without long hair.

Note: This question is not written correctly; here is the correct and complete question.

Samantha gathered the following information on a given day at the dog park.

There are 32 dogs playing at the dog park.

15 of the dogs are puppies.

11 of the dogs are not puppies and have long hair.

There are 6 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha’s data.

Learn more about dogs in: brainly.com/question/8565422

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2 years ago
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The area of the scale drawing would be 1080 square centimeters or (1080 cm^2). I got this answer through first finding the area of the classroom in feet (which is A= lw = [18][20] = 360 ft^2) and then I proceeded to converting it to centimeters via given scale factor (3 cm = 1 foot) and had the answer of 1080 centimeters squared.
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3 years ago
Read 2 more answers
1.Find the zeros of f(x) = x2 - 9
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So for the first one it is (x-3)(x+3) this is because it is a difference of squares so you square root the 9 and the minus you do both +and - in order to keep up the -9
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2 years ago
Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?
NemiM [27]

Answer:

x squared over 4 plus y squared over 8 equals 1

Step-by-step explanation:

The general equation of ellipse is given as;

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The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

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We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

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From (x²/a²) + (y²/b²) = 1, we can put our values to get;

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