To investigate whether there is a difference in opinion on a certain proposal between two voting districts, A and B, two independent random samples were taken. From district A, 35 of the 50 voters selected were in favor of the proposal, and from district B, 36 of the 60 voters selected were in favor of the proposal. Which of the following is the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts (district A minus district B)? A. 35-36 A 50 B. 35-36 0.7 0.6 V 50 0 + 60 C. 0.7-0.6 (0..) (.x) (+) 0.7-0.6 D. V(0.7)(0.6) (Hot 50+60 0.7 -0.6 E. (0.7) (0.6) VE 60

Answers

Answer 1

Answer:

C:      t= x1`-x2`/√p^q^(1/n1 +1/n2)

0.7−0.6/(0.65)(0.35)√(1/50+1/60)

Step-by-step explanation:

The options given are

A

35−36/ 35/√50+3660

B

35−36/0.7/√50+0.660

C

0.7−0.6/(0.65)(0.35)√(1/50+1/60)

D

0.7−0.6/(0.7)(0.6)/√(1/50+1/60)

E

0.7−0.6/(0.7)(0.6)/√150+160

↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔

This is a test hypothesis about difference of  means between two proportions.

The test statistic used is

t= x1`-x2`/√p^q^(1/n1 +1/n2)

x1`= 35/50= 0.7

x2`= 36/60= 0.6

so

x1`-x2`

= 35/50-36/60

= 0.7-0.6

p^= 35+36/50+60= 71/110= 0.645= 0.65

q^= 1-p^= 1-0.65= 0.35

p^q^= (0.65) (0.35)

n1= 50 and n2= 60

therefore √1/n1 +1/n2= √1/50+1/60

Now Putting the values in the test statistics we get

t= x1`-x2`/√p^q^(1/n1 +1/n2)

0.7−0.6/√(0.65)(0.35)(1/50+1/60)

Hence C is the correct option

Answer 2

Using the z-distribution, it is found that the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts is given by:

[tex]z = \frac{0.1 - 0}{0.0906}[/tex]

What are the hypothesis tested?

At the null hypothesis, it is tested if there is no difference between the proportions, that is, the subtraction is zero, hence:

[tex]H_0: p_A - p_B = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference between the proportions, that is, the subtraction is not zero, hence:

[tex]H_1: p_A - p_B \neq 0[/tex]

What is the mean and the standard error for the distribution of the difference of proportions?

First, we find the mean and the standard error for each proportion:

[tex]p_A = \frac{35}{50} = 0.7[/tex]

[tex]s_A = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]

[tex]p_B = \frac{36}{60} = 0.6[/tex]

[tex]s_B = \sqrt{\frac{0.6(0.4)}{60}} = 0.0633[/tex]

Then, for the difference:

[tex]\overline{p} = p_A - p_B = 0.7 - 0.6 = 0.1[/tex]

[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0648^2 + 0.0633^2} = 0.0906[/tex]

What is the test statistic?

It is given by:

[tex]z = \frac{\overline{p} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{0.1 - 0}{0.0906}[/tex]

To learn more about the z-distribution, you can take a look at https://brainly.com/question/16313918


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the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump​

Answers

Step-by-step explanation:

Water filled in 20 second = 200 liters

Water filled in 1 second = 200 / 20 = 10 liters

The flow rate of the pump is 10 liters per second.

Hope it will help :)

Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.

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Answers

Answer:

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Step-by-step explanation:

hope this helps :-D

em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?​

Answers

Answer:

Average speed in km / h = 2.7 km/h

Step-by-step explanation:

Given:

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Total time = 72,000 sec

Find:

Average speed in km / h

Computation:

Average speed = Distance / Time

Average speed = 54,000 / 72,000

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1 m/s = 3.6 km/h

So,

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Average speed in km / h = 2.7 km/h

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???????

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Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

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15/16

Step-by-step explanation:

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Step-by-step explanation:I hope this helps

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Answers

Answer:

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Step-by-step explanation:

Explanation:-

Given that the line y = - 5x+4 and point (1,2)

The equation of the Parallel line to the given line is  ax+by+k=0

Given straight line  5x + y -4 =0

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Final answer:-

The equation of the Parallel line to the given line is  5x+y-7=0

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Answers

Answer:

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Step-by-step explanation:

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What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The equation is:

[tex]\rm 3(x + 9)^{3/4} = 24[/tex]

After solving:

[tex]\rm (x + 9)^{3/4} = 8[/tex]

(x + 9)³ = 4096

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Learn more about the integer exponent here:

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Answers

Answer: 3.25 = 13/4

Step-by-step explanation:

I got 13/4

A mixed number is an addition of its whole and fractional parts.

3 + 1/4

add 3 and 1/4

To write

3

as a fraction with a common denominator, multiply by 4/4

3 x 4/4 + 1/4

Combine 3 and 4/4

3x4/4+ 1/4

Combine the numerators over the common denominator.

3x4+1/4

Simplify the numerator.

Multiply 3 by 4

12+1/4

Add 12 and 1

And your final answer is

13/4

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Answers

Answer:

C

Step-by-step explanation:

y + 2x + 10 = 4x + 5

y = 4x - 2x + 5 - 10

y = 2x - 5

Answer- C

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Answer:

11 units from the origin

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Please help! Will mark brainliest! ASAP

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165.00 dollars

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Answer:

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